if a sector of a circle has its radius equal to 21 cm and its area is 115.5 sq.cm then its length is
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Answer:
Thank you for asking this question. Here is your answer:
r = 21 cm
Θ = 120°
The length of arc = 2πr x θ/360
= 2 x 22/7 x 21 x 120/360
= 44 cm
Area of Sector = πr² x θ/360
= 22 x 21 = 462cm²
If there is any confusion please leave a comment below.
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MavisRee Virtuoso
Answer:
The length of arc is 55 cm
The area is 577.5 cm²
Step-by-step explanation:
Given,
radius = 21 cm
angle of sector = 150°
To find the length of Arc :
We know when angle is entire 360°, the length ( Circumference ) is 2πR
So,
when angle is θ, the length will be ( θ / 360 ) * 2πR
Here,
θ = 150°
R = 21 cm
Substituting the values in the formula,
Length of arc =
=
= 55 cm
Similarly for Area:
We know when angle is entire 360°, the area is πR²
So,
when angle is θ, the length will be ( θ / 360 ) * πR²
Substituting the values,
Area =
=
= 577.5 cm²
Hence,
The length of arc is 55 cm
The area is 577.5 cm²
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