Question

In a circle of radius 35cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.

Answer 1

Answer:

770 cm ² is the answer

#Happy to help

Answer 2

Length of the arc = 44 cm

Area of the sector = 770 cm²

Step-by-step explanation:

Given radius = 35cm. An arc subtends an angle of 72° at the centre.

So length of the arc = (θ/360)(2πr) =  72/360 * 2 * 22/7 * 35 = 44 cm

Area of the sector =  (θ/360)(πr²) = 72/360 * 22/7 * 35 * 35 = 770 cm²