Question 67

The total area of a circle and a square is equal to 2611 sq. cm. The diameter of the circle is 42 cm. What is the sum of the circumference of the circle and the perimeter of the square?(Take $$\pi = \frac{22}{7}$$) 

Solution

Area of the circle=$$\pi*r*r$$
=$$\frac{22}{7}*21*21$$
=1386
Area of the square=2611-1386
=1225
Side of the square=35 cm
Perimeter of square=4s=140 cm
Perimeter of circle=2*22*21/7
=132 cm
Sum=132+140
=272 cm


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