The following diagram shows part of a fan. OAD and OFG are sectors of…

Question

The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm²)?
Take π = 3.14
Mensuration 2D mcq question image

Accepted Answer

Option D. 602.88. Answer & Solution Answer: Option D Solution: It is clear from the figure Area of shaded region = Area of sector of OFG and OAD + Area of circle BCHE - area of sector OHE and OBC & = 2 × 360 × r^2 + r^2 - 2 × 360 × r^2 & = 2 × 45360 × 3.14 × 24 × 24 + 3.14 × 8^2 - 2 × 45360 × 3.1…

The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm2)? Take π = 3.14

Solution