find the area of a sector of a circle with radius 6 cm if angle of sector is 90 degree
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Answer :
The area of a sector of the circle is 88/7 cm²
Given :
- Radius = 6cm
- Angle of the sector is 90 degree
To find :
Area of a sector of the circle
Solution :
Given that,
- Radius (r) = 6cm
- Angle of sector θ = 90⁰
As we know that,
- Area of sector of circle = θ/360⁰ × πr²
where, θ is 90⁰ and r is 6cm
》θ/360⁰ × πr²
》90/360⁰ × 22/7 × (6)²
》1/4 × 22/7 × 36
》4 × 22 / 7
》88/7 cm²
Hence, The area of the sector of the circle is 88/7 cm²
Answered by
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Answer:
Step-by-step explanation:
radius (r)=6cm
Now,
Area of circle =πr²
=22/7×(6)²
=22/7×36
=792/7
=113.1428571cm²
Again,
The angle create a surface is one fourth of total surface area .
= 1/4 of 113.1428571
=113.1428571/4
=28.28571429,,
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