Question

the area of the sector of a circle of radian 10.5cm is 69.3 find the central angle of the sector

Answer 1

Heya mate, Here is ur answer

Given : Radius=10.5 cm

Area of sector = 69.3 cm^2

To find: Angle of the sector

We know the formula of area of a sector

Area of a sector= Theta / 360°×πr^2

Let me take theta ( central angle) as alpha.

Area of sector=
$\frac{ \alpha }{360} \times \pi \: r {}^{2}$

$69.3 = \frac{ \alpha }{360 } \times \frac{22}{7} \times 10.5 \times 10.5$


Taking all the terms other side


$\frac{69.3 \times 7 \times 360}{22 \times 10.5 \times 10.5} = \alpha$


$\frac{174636}{2425.5} = \alpha$


$72 = \alpha$

So, central angle of the sector=72°

Warm regards

@Laughterqueen

Be Brainly✌✌

Answer 2

Answer:- The central angle of the sector is 72° .