In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm2) of the circle?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 462 – 308√2
ATQ,
√2r + r = 7
⇒ r (√2 + 1) = 7
⇒ r = 7 (√2 – 1)
Area of Circle = π × r2
= 22 × 7 (3 - 2√2)
= 462 – 308√2