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What is the area of a sector of a circle with central angle 140 and radius 6 inches use 3.14?
Wiki User
∙ 12y ago
Total area = 3.14*62 = 113.04 square inches
Sector area = 140/360*113.04 = 43.96 square inches
Wiki User
∙ 12y ago
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What is the area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
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 radius of a circle with a sector are of 662.89?
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
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)]
In a circle a 90 degrees sector has area 16pi ft2. what is the radius of the circle?
The radius is 8 feet.
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 area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
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
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
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 of a circle with central angle is 18.0 and radius is 5 inches?
The area of the whole circle is pi*r2 = 25*pi To go any further, you need to assume that the central angle is given in degrees. If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle. The area of the sector, therefore, is 1/20 of the area of the whole circle = 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.
What is the area of a sector whose central angle is ninety degrees and has a radius of ten inches?
Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius. The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2. The area will be 1/4*3.14*10^2 or 78.5 in^2.
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
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
