Question

The central angle of a sector of a circle is 2/7 radian and it's radius is 7cm. What is it's area in sq. Cm?

Answer 1

2/7 radian
area of sector= {(angle of sector)/2π}π r2
= {(2/7)/(22/7)}*π 7²
= (1/11)*(22/7)(49)=14 cm2

Answer 2

Answer:

7 square cm.

Step-by-step explanation:

Given : The central angle of a sector of a circle is 2/7 radian and it's radius is 7cm.

To Find: What is it's area in sq. Cm?

Solution:

Central angle of a sector of a circle is 2/7 radian

Radius = 7 cm

Area of sector $\theta$ in radians = $\frac{1}{2} r^{2} \theta$

                                                                    = $\frac{1}{2} \times 7^{2} \times \frac{2}{7}$

                                                                    = $\frac{1}{2} \times49 \times \frac{2}{7}$

                                                                    = $49 \times \frac{1}{7}$

                                                                    = $7 cm^2$

Hence the area of sector is 7 square cm.