Q: How do you find the area of a sector of a circle when you're given only the radius and not the degrees?

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Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees

If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)

Circumference of a circle given radius Area of a circle given radius Volume of a sphere given radius Surface area of a sphere given radius Converting degrees to radians or vice versa

19.625 units squared

The length of an arc measuring 60 degrees given a circle with a radius of 6 is 2*pi, that is 6,2831 approximately.The perimeter of a circle is calculated with the formula:L = 2 * pi * rwhere L is the perimeter and r the radius of the circle. This is equivalent to calculating the length of an arc measuring 360 degrees. The length of any arc smaller than 360 is proportionally smaller. Given that 60 degrees is 1/6 of the total circle (360), the length of the arc will be 1/6 of the perimeter.2 * pi * 6L = --------------- = 2 * pi6

Related questions

Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees

If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)

if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area

The area of a sector which subtends an angle of x degrees at the centre is given byA = pi*r^2*x/360so r^2 = 360*A/(pi*x) and then r = sqrt{360*A/(pi*x)}

The area of the whole circle is pi*r2 = 25*pi To go any further, you need to assume that the central angle is given in degrees. If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle. The area of the sector, therefore, is 1/20 of the area of the whole circle = 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.

Circumference of a circle given radius Area of a circle given radius Volume of a sphere given radius Surface area of a sphere given radius Converting degrees to radians or vice versa

19.625 units squared

The length of an arc measuring 60 degrees given a circle with a radius of 6 is 2*pi, that is 6,2831 approximately.The perimeter of a circle is calculated with the formula:L = 2 * pi * rwhere L is the perimeter and r the radius of the circle. This is equivalent to calculating the length of an arc measuring 360 degrees. The length of any arc smaller than 360 is proportionally smaller. Given that 60 degrees is 1/6 of the total circle (360), the length of the arc will be 1/6 of the perimeter.2 * pi * 6L = --------------- = 2 * pi6

Diameter of a circle = 2*radius Circumference of a circle = 2*radius*pi

Given the circumference of a circle the radius is: r = C / 2xPI So the radius of your circle is 326.7451 ft

The degree of the arc is: 30.08 degrees.

if you are given the circle's "height" then that is the diameter. the diameter is twice the length of the radius, so divide the height by two and you will get the radius.