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What is the measure of the central angle if the sector area is 220 square units and the radius is 12 units?
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What is the area of a sector whose central angle is 93 in a circle with a radius of 20 feet?
324.47 square feet
What is the area of a sector with a central angle of 32 and a radius of 8.5?
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
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)]
What is the area of a sector of a circle with central angle 140 and radius 6 inches use 3.14?
Total area = 3.14*62 = 113.04 square inches Sector area = 140/360*113.04 = 43.96 square inches
A sector of a circle has a central angle of 80 degree and a radius of 5 meters. Find the area of the sector?
It is: 80/360 times 25pi = 17.453 square meters rounded to 3 decimal places
A sector has an area of about 3.5 square feet and a central angle of 25°. What is the radius of the sector?
4 ft.
What is the area of a sector whose central angle is 93 in a circle with a radius of 20 feet?
324.47 square feet
A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
The area of the sector of the circle formed by the central angle is: 37.7 square units.
What is the area of a sector with a central angle of 32 and a radius of 8.5?
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
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)]
What is a area of a sector formed by central angles 2x?
2x*r2 square units where r is the radius and 2x is the angle (measured in radians).
What is the area of a sector of a circle with central angle 140 and radius 6 inches use 3.14?
Total area = 3.14*62 = 113.04 square inches Sector area = 140/360*113.04 = 43.96 square inches
A sector of a circle has a central angle of 80 degree and a radius of 5 meters. Find the area of the sector.?
It is: 80/360 times 25pi = 17.453 square meters rounded to 3 decimal places
A sector of a circle has a central angle of 80 degree and a radius of 5 meters. Find the area of the sector?
It is: 80/360 times 25pi = 17.453 square meters rounded to 3 decimal places
What is the sector area of a circle with a radius of 2 km and a central angle of 270?
It is: 270/360*pi*2 squared = 3*pi square km
What is the area of the shaded sector with a central angle of 260 and radius of 12?
Area = pi*122 = 144pi square units Shaded area = (260/360)*144pi = 104pi square units
What is the area of a sector with radius 10 and measure of the arc equal to 45 degrees?
Area of circle sector: 45/360 times pi times 10 squared = 39.27 square units rounded to two decimal places
