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What is the area of a sector with radius 10 and measure of arc equal to 45?
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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 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 arc measure of a sector with area 38.485 ft2 and radius 7?
Area of sector: 38.485 sq ft Area of circle: 153.93804 sq ft Arc in degrees: (38.485/153.93804)*360 = 90.00114592 or about 90 degrees Arc in feet: 10.99557429 or about 11 feet
In a circle a 90 degrees sector has area 16pi ft2. what is the radius of the circle?
The radius is 8 feet.
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 radius of a circle if it has a sector area of 662.89 and a 190 degree measure?
For A+ it's 20
What is the area of a sector with radius 6 and measure of arc equal to 120 degrees?
Its square area is: 1/3*pi*62 = 12*pi or 37.699 to 3 decimal places
How do you find radius using angle of a sector?
It depends on what else is known about the sector: length of arc, area or some other measure.
Area of a sector?
pi times the radius squared times the measure of the arc divided by 360
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
Find the area of a sector of a circle with a 2 feet radius formed by a 30 degree angle?
the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi) the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi)
If a circle has a radius of 12 cm and a sector defined by a 120 degree arc what is the area of the sector?
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
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
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.
If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?
Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.
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
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
