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The radius is 8 feet.

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Q: In a circle a 90 degrees sector has area 16pi ft2. what is the radius of the circle?
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How do you calculate the surface area of a circle with a radius of 4?

A=pi * r^2, so 16pi


What is the area of a circle whose cicumfrence is 8 pie?

If circ is 8pi the radius must be 4 so area is 16pi


What is the approximate length of a 35 degree arc of a circle with an 8 cm radius?

It is: 16pi*35/360 = 4.886921906 or about 5 cm


Circumference of a circle with a diameter of 16 in?

Circumference is 2piR where R is the radius. Radius is 1/2 diameter so R = 8. Therefore circumference is 2x8xpi which is 16pi or 50.265


How do you calculate the radius of a sector?

Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle). Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle. If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90. But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi. But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]

Related questions

What is the area of a circle with a 4m radius?

The circle has an area of 16pi m2 or approximately 48m2.


What is the Area of circle of radius 4?

The Area of a circle is Pi (r)(r) so the area of a circle with the radius of 4, would be 16pi


What is the perimeter of a 8 inch radius?

Circle? Well 16pi is your answer or 50.2654824574 inches2


How do you calculate the surface area of a circle with a radius of 4?

A=pi * r^2, so 16pi


What is the circumference of a circle with a radius of 8 feet?

use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi


What is circumference of a circle with a radius of 8 feet?

use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi use the formula 2(pi)r=16pi


What is the area of a circle whose cicumfrence is 8 pie?

If circ is 8pi the radius must be 4 so area is 16pi


If the circumference of a circle is 16pi feet what is the area?

If the circumference of a circle is 16pi feet, the area is: about 201.1 square feet.


What is the approximate length of a 35 degree arc of a circle with an 8 cm radius?

It is: 16pi*35/360 = 4.886921906 or about 5 cm


Circumference of a circle with a diameter of 16 in?

Circumference is 2piR where R is the radius. Radius is 1/2 diameter so R = 8. Therefore circumference is 2x8xpi which is 16pi or 50.265


How do you calculate the radius of a sector?

Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle). Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle. If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90. But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi. But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]


If the circumference of a circle is 16pi what is the diameter?

16