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Q: What is the area of a shaded sector when the radius is 16 and the arc is 110 degrees?

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We would need to know how big the circle is. And what is the shaded part looks like. That will help us figure out the answer.

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

Assuming the shaded sector has the angle of 100o (without seeing the diagram, it could be the other sector, ie the one with an angle of 260o): The sector is 1000 ÷ 360o = 5/18 of the circle. Thus its area is 5/18 that of the circle: area = 5/18 x π x 82 ~= 55.9 units2

Area of the circle = pi*82 = 201.0619298 square units Area of the sector = 290/360 of 201.0619298 = 161.9665546 or about 162 square units

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)

Related questions

Find the area of the shaded sector. radius of 3 ...A+ = 7.07

19.23

0. There is no circle so no shaded area of a circle!

find the area of the shaded sector 12cm and 24°

We would need to know how big the circle is. And what is the shaded part looks like. That will help us figure out the answer.

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

394.7841751413609 125.6637061

(pi * radius squared) * ( sector angle / 360 )

That will depend on the length or angle of the arc which has not been given

The area is r^2*x where r is the radius of the circle and x is the angle measured in radians. If you are still working in degrees then Area = (y/180)*r^2, where the angle is y.

It is: 110/360*pi*12*12 = 44*pi square units

Area of sector = 60/360ths ie 1/6th of the total area; Total area = 12 x 12 x 3.14 = 452.16 cm2 Area of sector = 452.16/6 = 75.36 cm2

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