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How do you find the area of a sector with a central angle and radius?

How do you find the area of a sector with a central angle and radius?

Sector area formula The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.

What is the area of a sector of a circle with radius R and central angle 60 degrees?

Solution: The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. The area of sector = (θ/360°) × π r2 = (60°/360°) × (22/7) × 72 = 77/3 = 25.67 square units.

How do you find the area of a major sector?

Area of a sector In a circle with radius r and centre at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of a sector of circle formula is calculated using the unitary method. Now the area of the sector for the above figure can be calculated as (1/8) (3.14×r×r).

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What is the area of sector of a circle formula?

To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Area of a sector of a circle = (θ × r2 )/2 where θ is measured in radians. The formula can also be represented as Sector Area = (θ/360°) × πr2, where θ is measured in degrees.

What is area of sector of a circle with central angle 60?

32π​cm2.

What is area of sector of a circle with central angle 60 degree?

The area of a sector of a circle with radius 6 cm is 132/7 cm2 if angle of the sector is 60°.

What is the area of minor sector?

5. What is the area of the minor sector? Ans: If the central angle of the minor sector is θ then, the formula of the minor sector is =θ360∘×πr2 where r is the radius of the circle.

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Where is sector in a circle?

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc. The shape of a sector of a circle can be compared with a slice of pizza or a pie.