Question

if the radius of a sector is 7 cm then its area is 70 square centimetres and its perimeter is what​

Answer 1

Its perimeter is 33.99 cm

Step-by-step explanation:

Area of sector = $\frac{\theta}{360} \pi r^2$

We are given that the radius of a sector is 7 cm and its area is 70 square centimetres

So,$70 =\frac{\theta}{360} \times \frac{22}{7} \times 7^2\\\frac{70 \times 360 \times 7}{22 \times 7^2}=\theta \\163.63=\theta$

Length of arc of sector = $\frac{\theta}{360} \times 2 \pi r=\frac{163.63}{360} \times 2 \times \frac{22}{7} \times 7=19.99$

Perimeter of sector = Length of arc +2r = 19.99+2(7)=33.99 cm

Hence its perimeter is 33.99 cm

#learn more:

The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of the sector.

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