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How do you find the measure of a central angle if all you know the sector area?
Wiki User
∙ 12y ago
Unless you have a scale diagram in front of you which you can directly measure, then:
Unless you know the radius as well, with great difficulty.
Sector_area = 1/2 x radius2 x angle_in_radians
If the radius doubles, keeping the sector_area the same, the angle becomes a quarter of its previous value.
Wiki User
∙ 12y ago
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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
Find the area of the sector formed by central angle 2x?
26.17
Area enclosed within the central angle of a circle and the circle?
Area of a sector of a circle.
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 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 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
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
How do you get area of sector without given radius?
if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area
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)
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.
A circle has a radius of 6.5 inches. The area of a sector of this circle is 75 in2. Approximate the measure of the central angle, in radians, of this sector, rounded to the nearest tenth?
6.5
What is the measure of the central angle with a sector area of 169.56 and a radius of 9?
Radius is 9 so area of complete circle (360o) is 81 x 3.14 ie 254.34. Angle of sector is therefore 360 x 169.56/254.34 which is 240o
A sector of a circle has a central angle of 50 and an area of 605 cm2 Find the radius of the circle?
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
Find the area of the sector formed by central angle 2x?
26.17
Area enclosed within the central angle of a circle and the circle?
Area of a sector of a circle.
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.
Area of a part of circle?
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
