Question

find area of sector of circle with radius 10 cm and central angle 60degree. also find corresponding major sector of circle

Answer 1

Here is the required answer

Answer 2

Area of the Major Sector is 261.7 $cm^2$

Step-by-step explanation:

We know that,

The area of a sector of a circle is $\frac {60}{360}$ of the circle.

Area of a sector = $[ \frac {\theta}{360}] \pi \times r^2$

= $[\frac {60}{360}] \times 3.14 \times 10 \times 10$

= $\frac {314}{6} = 52.3cm^2$

For, major Sector = 360 - 60 = 300

Area for major sector = $[\frac {300}{360}] \times 3.14 \times 10 \times 10$

= $\frac {250 \pi}{3}$

Area of the circle is $3.14 \times 10 \times 10 = 314$

Hence area of the major sector = 314 - 52.3 = 261.7 $cm^2$