Question 28

A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

Name: A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?
Uploaded: 2024-10-22T15:41:31.503682+05:30
Duration: 3 min 24 s
Description: A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

Solution

Using pythagoras we can find diagonal of small square shown in fig. = 2*$$\sqrt2$$ . Now this is equal to 2 + r + $$\sqrt2$$ *r. Equating we get r = $$6- 4 \sqrt{2}$$

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests