{"id":43045,"date":"2020-10-08T19:59:57","date_gmt":"2020-10-08T14:29:57","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=43045"},"modified":"2020-10-08T19:59:57","modified_gmt":"2020-10-08T14:29:57","slug":"circle-questions-for-rrb-ntpc-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/circle-questions-for-rrb-ntpc-pdf\/","title":{"rendered":"Circle Questions for RRB NTPC PDF"},"content":{"rendered":"

Circle Questions for RRB NTPC PDF<\/strong><\/span><\/h2>\n

Download RRB NTPC Top-15 Circle Questions PDF. Questions based on asked questions in previous exam papers very important for the Railway NTPC exam.<\/p>\n

Download Circle Questions for RRB NTPC PDF<\/a><\/p>\n

Take a free mock test for RRB NTPC<\/a><\/p>\n

Download RRB NTPC Previous Papers PDF<\/a><\/p>\n\n

Question 1:\u00a0<\/b>A sector of a circle subtending angle 36\u00b0 has an area 3.85 $cm^{2}$. The length of the arc is<\/p>\n

a)\u00a02.2 cm<\/p>\n

b)\u00a02.5 cm<\/p>\n

c)\u00a02.7 cm<\/p>\n

d)\u00a0None of these<\/p>\n

Question 2:\u00a0<\/b>A wire when bent in the form of a square encloses an area of 484 sq. cm. If the same wire is bent in the form of a circle, what is the area enclosed by it?<\/p>\n

a)\u00a0264 sq. cm<\/p>\n

b)\u00a0616 sq. cm<\/p>\n

c)\u00a0488 sq. cm<\/p>\n

d)\u00a0492 sq. cm<\/p>\n

Question 3:\u00a0<\/b>If the circumference of a circle is 22 cm, find the area of the semicircle.<\/p>\n

a)\u00a038.5 sq.cm<\/p>\n

b)\u00a019.25 sq.cm<\/p>\n

c)\u00a044 sq.cm<\/p>\n

d)\u00a077 sq.cm<\/p>\n

Question 4:\u00a0<\/b>What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of $22\\surd3$ square units?<\/p>\n

a)\u00a01\/2<\/p>\n

b)\u00a01\/4<\/p>\n

c)\u00a01\/3<\/p>\n

d)\u00a02\/3<\/p>\n

Question 5:\u00a0<\/b>If the radius (r) of a circle is increased by ‘x’ units, what is the number of units by which the circumference of the circle is increased?<\/p>\n

a)\u00a0$\\pi$<\/p>\n

b)\u00a0$2\\pi$<\/p>\n

c)\u00a0$2\\pi r$<\/p>\n

d)\u00a0$2\\pi x$<\/p>\n

FREE RRB NTPC MOCK TEST<\/a><\/p>\n

FREE RRB NTPC YOUTUBE VIDEOS<\/a><\/p>\n

Instructions<\/b><\/p>\n

Consider the following information and questions based on it.
\nP, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other.
\n1. Y sits exactly between Q and R.
\n2. P does not sit next to either X or Z.
\n3. Z is to the immediate right of Q.
\n4. S sits third from the left of X and the right of Y.<\/p>\n

Question 6:\u00a0<\/b>If they all were facing outside the circle, W would be to the left of<\/p>\n

a)\u00a0X<\/p>\n

b)\u00a0S<\/p>\n

c)\u00a0P<\/p>\n

d)\u00a0Cannot be determined<\/p>\n

Question 7:\u00a0<\/b>If the area of a circle is $9\\pi$ sq. cm then its circumference is<\/p>\n

a)\u00a09 cm<\/p>\n

b)\u00a0$6 \\pi$ cm<\/p>\n

c)\u00a0$3 \\pi$ cm<\/p>\n

d)\u00a06 cm<\/p>\n

Question 8:\u00a0<\/b>In the circle below, chord $\\overline{AB}$ is extended to meet the tangent $\\overline{DE}$\u00a0at D. If $\\overline{AB}$ = 9 cm and $\\overline{BD}$ = 3 cm, find the length of $\\overline{DE}$.<\/p>\n

<\/figure>\n

a)\u00a05 cm<\/p>\n

b)\u00a04 cm<\/p>\n

c)\u00a0$\\sqrt{27}$ cm<\/p>\n

d)\u00a06 cm<\/p>\n

Question 9:\u00a0<\/b>The area of a circle is 616 sq.m. Find its diameter. $(\\pi=22\/7)$<\/p>\n

a)\u00a07m<\/p>\n

b)\u00a014m<\/p>\n

c)\u00a028m<\/p>\n

d)\u00a056m<\/p>\n

Question 10:\u00a0<\/b>A circle touches all the sides of a quadrilateral PQRS. whose sides, PQ = 2cm, QR = 3cm and RS = 4cm, What is the length of PS?<\/p>\n

a)\u00a03 cm<\/p>\n

b)\u00a02 cm<\/p>\n

c)\u00a01 cm<\/p>\n

d)\u00a04 cm<\/p>\n

RRB NTPC Previous Papers [Download PDF]<\/a><\/p>\n

Download General Science Notes PDF<\/a><\/p>\n

Question 11:\u00a0<\/b>The area of the circumcircle of a right angle triangle whose sides are given as 2 cm, $2\\sqrt{3}$ cm and 4 cm, is given by<\/p>\n

a)\u00a0$6 \\pi$ $cm^2$<\/p>\n

b)\u00a0$4 \\pi$ $cm^2$<\/p>\n

c)\u00a0$16 \\pi$ $cm^2$<\/p>\n

d)\u00a0$12 \\pi$ $cm^2$<\/p>\n

Question 12:\u00a0<\/b>A copper wire when bent in the form of a square encloses an area of $121\\ cm^2$. If the same wire is bent into the form of a circle, find the area of the circle:(Use:$\\pi=\\frac{22}{7}$)<\/p>\n

a)\u00a0$154\\ cm^2$<\/p>\n

b)\u00a0$153\\ cm^2$<\/p>\n

c)\u00a0$155\\ cm^2$<\/p>\n

d)\u00a0$150\\ cm^2$<\/p>\n

Question 13:\u00a0<\/b>The area of a circle got increased by 22 cm when the radius was increased by 1 cm. What was the original radius?<\/p>\n

a)\u00a05 cm<\/p>\n

b)\u00a09 cm<\/p>\n

c)\u00a03 cm<\/p>\n

d)\u00a07 cm<\/p>\n

Question 14:\u00a0<\/b>If a chord of length 24 cm is at a distance of 5 cm from centre, then find the radius of the circle.<\/p>\n

a)\u00a017 cm<\/p>\n

b)\u00a015 cm<\/p>\n

c)\u00a025 cm<\/p>\n

d)\u00a013 cm<\/p>\n

Question 15:\u00a0<\/b>What is the area of a circular track that runs around a circle with circumference 440 m, having a width of 7 m?<\/p>\n

a)\u00a03856 $m^2$<\/p>\n

b)<\/p>\n

\n

3234 .<\/p>\n

c)\u00a03900 $m^2$<\/p>\n

d)\u00a03204 $m^2$<\/p>\n\n

DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n

Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

The area of the arc = $ \\frac{36}{360} * \\pi * r^2$ = 3.85<\/p>\n

Solving, we get r = 3.5<\/p>\n

Length of the arc = $ \\frac{36}{360} * 2 * \\pi * r$ = 2.2<\/p>\n

2)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Let say, radius of the circle is r.<\/p>\n

Area of the square =484 sq. cm.<\/p>\n

So,Side of the square$\\sqrt{484\\ }=22$ cm.<\/p>\n

same wire is used to form the circle.<\/p>\n

So, perimeter of the circle will be same as perimeter of the square.<\/p>\n

So,\u00a0$2\\times\\pi\\ \\times r=4\\times\\ 22.$<\/p>\n

or,$r=\\frac{88\\ }{2\\pi\\ }=14.$<\/p>\n

So,Area of the circle$\\pi r^2=\\pi\\times14^2=\\ \\frac{\\ 22}{7}\\times14^2=616\\ cm^2.\\ $<\/p>\n

B is correct choice.<\/p>\n

3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

According to question :<\/p>\n

2\u00d7(22\/7)\u00d7r=22.<\/p>\n

or,r=(7\/2)=3.5.<\/p>\n

So,Area of circle=$\u03c0r^2$<\/p>\n

=$(22\/7)(3.5)^2$.<\/p>\n

=38.5 $cm^2$<\/p>\n

So,Area of semicircle = (38.5\/2)=19.25$cm^2$<\/p>\n

B is correct choice.<\/p>\n

4)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

We know that<\/p>\n

radius of incircle of equilateral triangle = $\\frac{side}{2\\sqrt{3}}$<\/p>\n

radius of circumcircle of equilateral triangle = $\\frac{side}{\\sqrt{3}}$<\/p>\n

hence there ratio = 1:2<\/p>\n

5)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Circumference of circle =\u00a0$2\\pi\\ r$<\/p>\n

Circumference of circle when radius increased by x =\u00a0$2\\pi\\ \\left(r+x\\right)=2\\pi\\ r+2\\pi\\ x$<\/p>\n

Hence, circumference of the circle increased by\u00a0$2\\pi x$ units.<\/p>\n

6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

<\/figure>\n

W seats left of P.<\/p>\n

7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

$\\pi\\ r^2=9\\pi\\ $<\/p>\n

$r^2=9$<\/p>\n

r = 3<\/p>\n

Circumference =\u00a0$2\\pi\\ r$=\u00a0$2\\pi\\ \\times\\ 3=6\\pi\\ $<\/p>\n

8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Area of the circle =\u00a0$\\pi\\ r^2$<\/p>\n

616 =\u00a0$\\frac{22}{7}\\times\\ r^2$<\/p>\n

$r^2=196$<\/p>\n

r = 14 m<\/p>\n

Hence diameter = 2r = 28 m<\/p>\n

10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

C which is the length of the hypotenuse of a right angled triangle of a circumcircle passing through the centre of the circumcircle.<\/p>\n

<\/figure>\n

Sides are given as 2 cm, $2\\sqrt{3}$ cm and 4 cm,<\/p>\n

Since\u00a0hypotenuse of a right angled triangle is the longest side i.e c = 4 cm which makes it the diameter of the\u00a0circumcircle.<\/p>\n

Therefore, area of the\u00a0circumcircle =\u00a0$\\pi \\times R^2 = \\pi \\times 2^2$<\/p>\n

$=\\pi \\times 4 cm^2$<\/p>\n

Option B is correct.<\/p>\n

12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Given<\/p>\n

Encloses area by forming the square = 121$cm^2$<\/p>\n

we know that<\/p>\n

Area of square =$a^2$<\/p>\n

so,<\/p>\n

$a^2$=121<\/p>\n

a=11 cm<\/p>\n

now perimeter of square = perimeter of circle according to question
\n<\/code><\/p>\n

from here we get r=7 cm<\/p>\n

Area of circle =$\\pi\\text{r}^2$<\/p>\n

=\u00a0$\\frac{22}{7}\\cdot7^2=154cm^2$ Ans<\/p>\n

13)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

area of circle = $\\pi\\times r^2$<\/p>\n

radius = r<\/p>\n

ATQ<\/p>\n

$\\pi(r + 1)^2- \\pi\\times r^2 = 22$<\/p>\n

$\\pi((r + 1)^2- r^2) = 22$<\/p>\n

$\\frac{1+ 2r}{7}=1$<\/p>\n

2r = 6<\/p>\n

r = 3cm<\/p>\n

14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

it becomes a right angle triangle<\/p>\n

chord = 24 cm<\/p>\n

so<\/p>\n

base of triangle = half of 24 = 12 cm<\/p>\n

height = 5cm<\/p>\n

apply pythagoras’s thearom<\/p>\n

hypotenuse = $\\sqrt(5^2 + 12^2)$<\/p>\n

= 13cm<\/p>\n

15)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

Circumference=$ 2\\times \\frac{22}{7} \\times R=440$<\/p>\n

so Radius of circle=70<\/p>\n

now radius of track=7\u00a0 so RADIUS of bigger circle=77.<\/p>\n

AREA of TRACK\u00a0 =\u00a0 AREA OF BIGGER CIRCLE\u00a0 – AREA OF SMALL CIRCLE<\/p>\n

=$ \\frac {22}{7} \\times 77 \\times 77 – \\frac {22}{7} \\times 70 \\times 70$<\/p>\n

=3234m<\/p>\n

DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n\n

We hope this Top-15 Circle Questions pdf for RRB NTPC exam will be highly useful for your Preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Circle Questions for RRB NTPC PDF Download RRB NTPC Top-15 Circle Questions PDF. Questions based on asked questions in previous exam papers very important for the Railway NTPC exam. Download RRB NTPC Previous Papers PDF Question 1:\u00a0A sector of a circle subtending angle 36\u00b0 has an area 3.85 $cm^{2}$. The length of the arc is […]<\/p>\n","protected":false},"author":42,"featured_media":43049,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3167,125,31,1701,1679,1605,1603,1673],"tags":[4233,214,4117,492,1635,1593],"class_list":{"0":"post-43045","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads-en","8":"category-featured","9":"category-railways","10":"category-rpf-si-and-constable","11":"category-rrb-group-d","12":"category-rrb-je","13":"category-rrb-ntpc","14":"category-rrb-para-medical-categories","15":"tag-circle-questions","16":"tag-quant","17":"tag-railway-exams","18":"tag-rrb-group-d","19":"tag-rrb-je","20":"tag-rrb-ntpc"},"better_featured_image":{"id":43049,"alt_text":"Circle Questions for RRB NTPC PDF","caption":"Circle Questions for RRB NTPC PDF\n","description":"Circle 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