CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Geometry
In the given figure, PQRS is a square whose side is 12 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm2) of the circle ? |
3314 3348 9956 9948 |
9956 |
Let radius of circle = r ∴ OA = 12 - r, OQ = 12 + r In ΔOAQ (OQ)2 = (OA)2 + (AQ)2 (12 + r)2 = (12 - r)2 + 62 144 + r2 + 24r = 144 + r2 - 24r + 36 48r = 36 r = 3648 r = 34 and area of circle = πr2 = 227 × 34 × 34 = 9956 cm2 |