Question

A sector of a circle has a central angle of
135
∘
. Find the area of the sector if the radius of the circle is 13 cm.

Answer 1

• The area of the sector is 2079 cm sq.

Given:-

• The diameter of the circle is 84 cm
• The angle of the sector in the circle is (Ф) = 135°

To find:-

• The area of the sector

Now

• Radius = diameter/2
• Radius (r) = 84/2 = 42 cm

• The formula to find the area of the sector when radius and angle (Ф) are given:-

Area of sector = Ф/360 * πr² unit sq.

• = 135/360 * 22/7 * 42 * 42

• = 135/360 * 22 * 6 * 42

• = 135/60 * 22 * 42

• = 135/10 * 22 * 7

• = 20790/10

= 2079 cm sq.

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Know More :-

If the angle (Ф) of the sector is given and radius of the circle is given and the question asks about the length of the arc of the sector (l) Arc length (l) = Ф/360 * 2πr units

Answer 2

Answer:

The area of the sector is 2079 cm sq.

Given:-

The diameter of the circle is 84 cm

The angle of the sector in the circle is (Ф) = 135°

To find:-

The area of  sector

Radius = diameter/2

Radius (r) = 84/2 = 42 cm

The formula to find area of sector when radius and angle (Ф) are given:-

Area of sector = Ф/360 * πr² unit sq.

= 135/360 * 22/7 * 42 * 42

= 135/360 * 22 * 6 * 42

= 135/60 * 22 * 42

= 135/10 * 22 * 7

= 20790/10

= 2079 cm sq.

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