Question

find the perimeter of a sector of a circle if it's measure is 90 and radius is 7 cm​

Answer 1

Given: Central angle of a circle = 90° And radius of circle is 7 cm

To find: To find the perimeter of sector of a circle

Step-by-step explanation:

As we know

Circumference of sector is given by

 C=2\pi r \dfrac{\theta}{360^\circ}C=2πr360∘θ where C is circumference, r is radius , ∅ is the central angle

So we have

C= 2\times \pi \times 7 \times \dfrac{90^\circ }{360^\circ} = 2\times \dfrac{22}{7} \times 7\times \dfrac{1}{4} = 11cmC=2×π×7×360∘90∘=2×722×7×41=11cm

Hence, perimeter of a circle with radius 7 cm and central angle  90°  is 11 cm