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Area of the circle = pi*7.8752 = 194.8278319 square units

Area of sector = 75/360 times 194.8278319 = 40.58913165 square units

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โˆ™ 2011-01-13 17:44:42
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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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Related questions

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.


How do you work out the area of a sector when given the length of the arc?

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)


How can you find the measure of the central angle with the sector area known?

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


What is the measure of the central angle of each sector if you divide a circle into five equal sectors?

360 degrees / 5 pieces = 72 degrees


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

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


What is the area of the shaded sector if the circle has a diameter of 8.5cm and two angles measuring 160 degrees each?

shaded sectors do not appear on listings


What is the area of a circle if the area of its sector is 49?

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


What is part of a circle?

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


Find the area of the shaded sector if the sector is ten degrees and the diameter is 12?

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


All the parts of the circle?

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.


How do you get the degree measure of sector from the percent?

You have to remember that the complete circle is 360°.When they tell you that the sector is some percent of the circle, it's the same percent of 360° !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 360°) and you get 144°. Is that cool ? !


What is the area of a of a sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches?

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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