Question

find the perimeter of the sector of a circle of radius 9 cm with Central angle 70 degree​

Answer 1

Hope this helps if any doubt please ask.

Answer 2

Perimeter of the sector of a circle of radius 9 cm with central angle 70 degree​ is 29 cm

Solution:

Given that,

Radius = 9 cm

Central angle, $\theta = 70^{\circ}$

The perimeter of sector is given as:

$Perimeter = 2r + \frac{ \theta }{360} \times 2 \pi r$

Substitute the given values, we get

$Perimeter = 2(9) + \frac{70}{360} \times 2 \times \frac{22}{7} \times 9\\\\Perimeter = 2(9) + \frac{10 \times22 }{20} \\\\Perimeter = 18 + 11\\\\Perimeter = 29$

Thus perimeter is 29 cm

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