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What is the area of a sector with a central angle of 32 and a radius of 8.5?
Wiki User
∙ 13y ago
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
Wiki User
∙ 13y ago
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How do you work out the area of a sector using the angle and radius?
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
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
How do i find the arc length if i know the area?
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
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 if the central angle is 45 degrees?
An eighth of the area of the circle which, since neither its radius, diameter nor circumference are known, is an unknown quantity.
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
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 the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
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.
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 the shaded sector if the radius is 12 and the central angle is 100?
394.7841751413609 125.6637061
Area of a part of circle?
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
The area of the sector formed by the 110 degree central angle is 40 What is the radius of the circle?
6.46
The area of a sector formed by a 110 degree central angle is 50 units what is its radius?
45.33
What is the area of the shaded sector if the circle has a radius of 7 and the central angle is 45 degrees?
19.23
The area of the sector formed by the 110 degree central angle is 40 units what is the radius of the circle?
6.46
How do you work out the area of a sector using the angle and radius?
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
