Question

Area of sector of circle of radius 14cm is 77 cm square . Find its central angle

Answer 1

Answer:

45°

Step-by-step explanation:

r = 14 cm

area = 77 cm²

pi * r * r * theta/360 = 77

22/7 * 14 * 14 * theta/360 = 77

theta = (77 * 7 * 360)/(22 * 14 * 14 )

theta = 45°

Answer 2

The central angle is 45°.

Step-by-step explanation:

Given : Area of sector of circle of radius 14 cm is 77 cm square.

To Find : Its central angle ?

Solution :

The radius is r=14 cm.

The area is A= 77 cm² .

The central angle is given by,

$A=\frac{\theta}{360}\times \pi r^2$

Substitute the value,

$77=\frac{\theta}{360}\times \frac{22}{7}\times 14^2$

$\theta=\frac{77\times 360\times 7}{22\times 14\times 14}$

$\theta=45^\circ$

Therefore, the central angle is 45°.

#Learn more

Find the area of a sector of circle with radius of the circle is 21 cm and the area of the sector 60 degrees

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