What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°? (Use π = 3.14)

Question

Accepted Answer

The perimeter of a sector of a circle is given by the sum of the two radii and the length of the arc.

Given:
Radius (r) = 10 cm
Angle (θ) = 30°
π = 3.14

Step 1: Calculate the length of the arc.
Arc length = (θ/360) × 2πr
= (30/360) × 2 × 3.14 × 10
= (1/12) × 62.8
= 5.2333 cm

Step 2: Calculate the perimeter of the sector.
Perimeter = 2r + arc length
= 2 × 10 + 5.2333
= 20 + 5.2333
= 25.2333 cm

Rounded to one decimal place, the perimeter is 25.2 cm.

Answer

Answer

Answer