Question

find the area of the segment of a circle of radius 14cm when the angles of the corresponding sector is 30 degree

Answer 1

answer is51.28sqate centimetre

Answer 2

Answer:

51.3 cm²

Step-by-step explanation:

We are given that,

Radius of the circle, r = 14 cm

Central angle, θ = 30° = $\frac{\pi }{6}$

Since, we know,

Area of the sector of a circle = $r^{2}\times \frac{\theta}{2}$

Thus, we have,

Area of the corresponding sector = $14^{2}\times \frac{\frac{\pi }{6}}{2}$

i.e. Area of the corresponding sector = $196\times \frac{\pi}{12}$

i.e. Area of the corresponding sector = $196\times 0.2618$

i.e. Area of the corresponding sector = 51.3 cm²

Hence, the area of the segment of the given circle is 51.4 cm².