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Area of sector/Area of circle = Angle of sector/360o

Area of sector = (Area of circle*Angle of sector)/360o

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A circle has an area of 30 in What is the area of a 60 sector of this circle?

Divide the area of the sector by 360 and multiply it to the area. The area of the sector is 5 square inches.


Find the area of the sector when the sector measures 10 degrees and the diameter of the circle is 12?

For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.


If a circle has a radius of 12 cm and a sector defined by a 120 degree arc what is the area of the sector?

if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector


What part of the circle is The area of a circle enclosed by 2 radii and an arc?

It is a sector of the circle


If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?

Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.

Related Questions

True or fulse To find the area of a sector you multiply the area of the circle by the measure of the arc determined by the sector?

fulse


To find the area of a sector do you multiply the area of the circle by the measure of the arc determined by the sector?

No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.


To find the area of a sector you multiply the area of the circle by the fraction of the circle covered by that sector?

That would certainly do it.


A circle has an area of 30 in What is the area of a 60 sector of this circle?

Divide the area of the sector by 360 and multiply it to the area. The area of the sector is 5 square inches.


How can you find the angle of a sector in a circle?

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].


How do you find an area of a sector of a circle?

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].


When a piece of a circle is determined by two radii what is that piece called?

Sector


If the arc length of a sector in the unit circle is 3 radians what is the measure of the angle of the sector?

In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.


A circle has an area of 24 m What is the area of a 45 sector of this circle?

Divide the angle sector by 360 and multiply it by 24 square meters. The area is equal to 3 square meters.


A circle has a radius of 6.5 inches. The area of a sector of this circle is 75 in2. Approximate the measure of the central angle, in radians, of this sector, rounded to the nearest tenth?

6.5


When was the latitude of the Arctic Circle determined?

The latitude of the Arctic Circle was determined around 300 B.C. by the Greek astronomer and mathematician Eratosthenes. He calculated it to be approximately 66.5 degrees north of the Equator.


What is the radius of a circle if it has a sector area of 662.89 and a 190 degree measure?

For A+ it's 20