A sector is formed in a circle of diameter 21 cm . If that angle of the sector is 150 degree find its area
Answers
Answer: The correct answer will be 144.24cm^2.
Step-by-step explanation:
Diameter of the circle is 21cm so the radius will be the half of it.
Radius= 21/2 cm
Total angle of the entire circle= 360 degrees
Angle of the sector= 150 degrees
By unitary method,
Area of the entire circle( going by the formula) = π r², where r is the radius of the circle
So it can be said that area of 360 degrees of the circle is π r²
Hence, area of 150 degree sector of the circle will be =( π r²/ 360)×150
=[ ( 3.14×21/2× 21/2)/360] × 150
= 144.24 cm^2.
Given : a sector is cut from a circle of 21 cm diameter.
the angle is 150 degrees
(use π=22/7)
To Find : area of sector
Solution:
Area of a circle = πr²
r = radius of the circle
Area of sector = (sector angle in degrees / 360° ) Area of circle
= (θ/360°)πr²
θ = Sector angle = 150°
r = 21/2 cm as radius = Diameter/2
π = 22/7
Area of the sector = (150°/360°) (22/7) (21/2)²
= ( 5/12) * 22 * (21/4) * 3
= ( 5/4) * 22 * (21/4)
= ( 5/2) * 11 * (21/4)
= 144.375 cm²
Area of the sector = 144.375 cm²
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