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Q: What is the area of a sector of a circle that has an arc measure of 75 degrees and a diameter of 15.75?

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

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)

It is found by: (sector area/entire circle area) times 360 in degrees

360 degrees / 5 pieces = 72 degrees

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

shaded sectors do not appear on listings

The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)

Parts of a circle are:- Circumference Diameter Radius Chord Segment Sector Tangent

area of whole circle = pi * radius squared = 3.14159 * 36 = 113.1area of sector = 113.1 * ( 10 / 360 ) = 3.14159 sq units

Geometrically, the parts of a circle are the diameter, radius, chord(s), circumference, arc, sector, segment, tangent, secant, the minor sector, and the major sector.

You have to remember that the complete circle is 360Â°.When they tell you that the sector is some percent of the circle, it's the same percent of 360Â° !Example:A sector is 40 percent of the circle. How many degrees is it ?40 percent is the same as 0.40Multiply (0.40 x 360Â°) and you get 144Â°. Is that cool ? !

The area of the sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches is: 25 square inches.

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