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If a sector has an angle of 118.7 and an arc length of 58.95 mm its radius is: 28.45 mm

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Q: If a sector has an angle of 118.7 and an arc length of 58.95mm what is its radius?
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What is the relation between area of a sector and length of an arc of a circle?

There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.


How do you calculate the the arc of a sector?

To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length


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.


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


Calculate a sector of a circle if the angle is 150 degrees and the radius is 13cm?

The area of the sector is: 221.2 cm2

Related questions

How do you find the length of a sector?

The answer depends on what information you do have: radius, arc length, central angle etc.


What is the area of the shaded sector with a radius of 7?

That will depend on the length or angle of the arc which has not been given


What is the relation between area of a sector and length of an arc of a circle?

There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.


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.


Find the arc length of a sector with a radius of 30 and an angle of 60 degrees?

arc length = angle/360 x r 60/360 x 30 = 5


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 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 radius of the sector with an angle of 27 degrees and arc of 12cm?

The radius of the sector with an angle of 27 degrees and arc of 12cm is: 25.46 cm


How do you measure sector angles?

s=r x theta s=arc length r=radius theta=angle


How do you draw an arc with a given length and known radius?

The length of an arc equals he angle (in radians) times the radius. Divide the length by the radius, and that gives you the ange. Measure out the angle on a protractor and draw the length of the radius at the begining and end of the angle. Then draw theportion of the circle with its center at the location ofthe angle and extending out to the radius.


How do you calculate the the arc of a sector?

To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length


What is the radius of the sector when the angle is 21 and the arc length is 25?

Circumference of circle: 360/21 times 25 = 3000/7 Radius of sector: (3000/7) divided by (2*pi) = 68 units to the nearest integer