Math, asked by aashutosh23march, 9 months ago

find the area of a sector of a circle with radius 7 cm and angle 135 degree​

Answers

Answered by reddy75
1

Answer:

Answer is in the attachment

Attachments:
Answered by BrainlyVanquisher
6
  • 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

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