The sector of a circle has radius of 21 cm and central angle 135o . Find its perimeter?
Answers
Answered by
5
◆Solution: Given: radius of circle=21 cm
Central angle=135°
To find: Perimeter of sector.
Firstly we have to find the length of arc.
So length of arc = theta/ 360°×2pi R
= 135°/360°×2×22/7 × 21
= 27°/72° × 44×3
= 9°/24° × 44×3
= 9/6×44
= 3/2× 44
= 3 × 22= 66 cm
Now, Perimeter of sector= 2×r + length of arc
= 2×21+ 66
= 42+66
= 108 cm
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Central angle=135°
To find: Perimeter of sector.
Firstly we have to find the length of arc.
So length of arc = theta/ 360°×2pi R
= 135°/360°×2×22/7 × 21
= 27°/72° × 44×3
= 9°/24° × 44×3
= 9/6×44
= 3/2× 44
= 3 × 22= 66 cm
Now, Perimeter of sector= 2×r + length of arc
= 2×21+ 66
= 42+66
= 108 cm
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Answered by
16
Answer:
91.5
Step-by-step explanation:
lenght of arc = 135/360×2×22/7×21
= 49.5cm
now,perimeter of sector is
49.5+(21×2)=91.5cm
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