Question

OA and OB are two radii of a circle of radius 10 such that measure angle AOB =144°then area of the sector AOB is ​

Answer 1

Answer:

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Answer 2

Given: OA and OB are two radii of a circle of radius 10 units. The measure of angle AOB=144°.

To find: Area of the sector

Solution: Let the radius of the circle be r and the angle AOB be a.

The formula for area of a sector of circle when the radius of the circle and angle made is known is given by:

$\pi \times {r}^{2} \times \frac{a}{360}$

$= \frac{22}{7} \times {10}^{2} \times \frac{144}{360}$

$= \frac{22}{7} \times 100 \times 0.4$

$= \frac{22}{7} \times 40$

$= \frac{880}{7}$

= 125.71 square units

Therefore, the area of the sector AOB is 125.71 square units.