Question

Find the perimeter of a sector whose radius and central angle are 18 cm and 210° respectively.

Answer 1

Perimeter of a sector = theta divided by 360 × 2πr

= 210/360 × 2× 22/7 × 18

= 66 cm²

Answer 2

The perimeter of a sector is 102 cm

Step-by-step explanation:

Radius of circle = 18 cm

Central angle = 210°

Length of arc =$\frac{\theta}{360} 2 \pi r$

Length of arc =$\frac{210}{360}\times 2 \times \frac{22}{7} \times 18$

Length of arc =66 cm

Perimeter of sector = Length of arc+2r

Perimeter = 66 +2(18)

Perimeter =102 cm

Hence the perimeter of a sector is 102 cm

#Learn more:

x. (1)

The measure of a central angle of

a circle is 150 ° and radius of the

circle is 21 cm. Find the length of

the arc and area of the sector

associated with the central angle.

210

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