Question

3

2
Area = 98cm
26°
Х
Find the radius of the sector below. Give your answer to 1 decimal place.​

Answer 1

20.8 cm

Explanation:

Given:

Area of sector = 98 cm²

θ = 26°

Required:

Radius (r) of the sector

Solution:

Area of a sector = θ/360 × πr²

Plug in the values

98 = 26/360 × πr²

`98 = (26*\pi*r^2)/(360)`

`98*360 = 26*\pi*r^2`

`35,280 = 81.68*r^2`

`(35,280)/(81.68) = r^2`

`431.929481 = r^2`

Take the square root of both sides

20.7829132 = r

r = 20.8 (1 decimal place)