Question

The diagram shows a sector of a circle radius 10cm

angle=135 degrees

find the perimeter and area of the sector , giving your answer correct to 1 decimal place

Answer 1

Area of the sector = 117.75 sq.cm and Perimeter = 43.55 cm.

What is a Circle ?

A circle is a round shaped figure , All the points of the plane lie in the same plane.

It is given that the radius of the sector of the circle is given by 10cm

Angle of the sector is 135 degree

Perimeter = ?

Area = ?

 $\rm Area \; of\; the \; sector = \dfrac{\theta}{360} \pi r^2$

$\rm \theta =$ 135 degree

Area of the sector = (135/360) * π *(10)²

Area of the sector = 117.75 sq.cm

The Perimeter = ($\rm \theta$/360) *π *d +r+r

Perimeter = (135/360) *3.14 *20 + 10+10

Perimeter = 43.55 cm

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