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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?
Christabrogley
324.47 square feet
Wiki User
∙ 8y ago
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What is a central angle of a circle?
the 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)]
Area enclosed within the central angle of a circle and the circle?
Area of a sector of a circle.
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 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 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
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.
Area of a part of circle?
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
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
The area of the sector formed by the 110 degree central angle is 40 What is the radius of the circle?
6.46
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 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
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 an arc central angle and radius of the circle?
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
What is a central angle of a circle?
the radius
A central angle of a circle is a right angle then what is the measure of the minor arc?
You can draw exactly four of the those right-angled sectors in a circle. The definition of a sector is quoted as "the portion of a circle bounded by two radii and the included arc". The circumference of a circle = 2*pi*radius. The arc of each sector will be 0.5*pi*radius.
