Question

Barry the Beaver gnaws his way through a circular section of wood. The sector has a radius of 5.90 m and central angle 85.3°. What is the area of this section of wood?

Answer 1

25.899sq.metres

Explanation:

Area of this section of wood = Area of the sector

Area of the sector = theta/360 * πr²

r is the radius

theta is the central angle

Substitute

Area of the sector = 85.3/360 * πr²

Area of the sector = 85.3/360 * 3.14(5.90)²

Area of the sector = 85.3/360 * 109.3034

Area of the sector = 9,323.58002/360

Area of the sector = 25.899

Hence the area of the section of wood is 25.899sq.metres