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Find the area of a sector of a circle with 6cm if angle of sector is 60°?
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Find the area of a sector of a circle with 6cm if angle of sector is 6...
Calculating the Area of a Sector of a Circle
To find the area of a sector of a circle, you can use the formula:
Area of sector = (θ/360) x πr^2
where:
- θ is the angle of the sector in degrees
- r is the radius of the circle
Given Parameters:
- Angle of sector (θ) = 60°
- Radius (r) = 6 cm
Calculating the Area:
1. First, convert the angle from degrees to radians since the formula requires the angle in radians. Use the formula:
- Angle in radians = (Angle in degrees x π) / 180
- Angle in radians = (60 x π) / 180
- Angle in radians = π/3
2. Substitute the values into the formula for the area of the sector:
- Area of sector = (π/3 / 360) x π x 6^2
- Area of sector = (π/3 x π x 36) / 360
- Area of sector = π^2 x 36 / 1080
- Area of sector = π^2 x 0.0333
- Area of sector ≈ 0.1047π cm^2
Therefore, the area of the sector of a circle with a radius of 6 cm and an angle of 60° is approximately 0.1047π cm^2.
To find the area of a sector of a circle, you can use the formula:
Area of sector = (θ/360) x πr^2
where:
- θ is the angle of the sector in degrees
- r is the radius of the circle
Given Parameters:
- Angle of sector (θ) = 60°
- Radius (r) = 6 cm
Calculating the Area:
1. First, convert the angle from degrees to radians since the formula requires the angle in radians. Use the formula:
- Angle in radians = (Angle in degrees x π) / 180
- Angle in radians = (60 x π) / 180
- Angle in radians = π/3
2. Substitute the values into the formula for the area of the sector:
- Area of sector = (π/3 / 360) x π x 6^2
- Area of sector = (π/3 x π x 36) / 360
- Area of sector = π^2 x 36 / 1080
- Area of sector = π^2 x 0.0333
- Area of sector ≈ 0.1047π cm^2
Therefore, the area of the sector of a circle with a radius of 6 cm and an angle of 60° is approximately 0.1047π cm^2.
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Find the area of a sector of a circle with 6cm if angle of sector is 60°?
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Find the area of a sector of a circle with 6cm if angle of sector is 60°? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the area of a sector of a circle with 6cm if angle of sector is 60°? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of a sector of a circle with 6cm if angle of sector is 60°?.
Find the area of a sector of a circle with 6cm if angle of sector is 60°? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the area of a sector of a circle with 6cm if angle of sector is 60°? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of a sector of a circle with 6cm if angle of sector is 60°?.
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