The formula for the area of a sector of a circle is given by ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area, ( \theta ) is the central angle in degrees, and ( r ) is the radius of the circle. If the angle is in radians, the formula simplifies to ( A = \frac{1}{2} r^2 \theta ). The length of the arc of the sector can be calculated using the formula ( L = \frac{\theta}{360} \times 2\pi r ) for degrees, or ( L = r\theta ) for radians.
To determine the size of a sector in a circle, you can use the formula: Area of the sector = (θ/360) × πr², where θ is the central angle of the sector in degrees and r is the radius of the circle. If you have the angle in radians, the formula becomes: Area of the sector = (1/2) × r² × θ. This allows you to calculate the area based on the proportion of the circle that the sector represents.
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There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
area of sector = (angle at centre*area of circle)/360
The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that sector. This is a true statement and correct formula.
The answer depends on the formula for what: the radius, circumference, length of an arc, area, area of sector, area of segment: each one has a different formula.
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In a unit circle, the radius is 1, so the arc length ( s ) of a sector can be calculated using the formula ( s = r\theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. Since the radius ( r = 1 ), the formula simplifies to ( s = \theta ). Therefore, if the arc length is 4.2, the measure of the angle of the sector is ( \theta = 4.2 ) radians.
the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi) the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi)
To find the area of a sector when only the radius is given, you'll need to know the angle of the sector in either degrees or radians. The formula for the area of a sector is ( A = \frac{1}{2} r^2 \theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. If the angle is not provided, the area cannot be determined solely with the radius.
apply this formula: A = t/360 r2 when t = angle at center and r = radius so A = 471.2 (rounded to 1 decimal place)
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In order to find the area of a sector of a circle you can use the formula below: pi*r^2 * # of degrees/ 360
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