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circumference = 4 pi, so arc is 4 pi x 75/360 = 300 pi /360 = 5 pi/6 = 2.62

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How do you find the area of a circle when the radius is unknown?

By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.


A chord of a circle has length 4.2 cm and is 8 cm from the center of the circle what is the radius of the circle?

To find the radius of the circle, we can use the Pythagorean theorem. The chord divides the circle into two equal parts, each forming a right triangle with the radius. The radius, the distance from the center to the chord, and half the length of the chord form a right triangle. Using the Pythagorean theorem, we have (radius)^2 = (distance from center)^2 + (1/2 * chord length)^2. Substituting in the given values, we get (radius)^2 = 8^2 - (1/2 * 4.2)^2. Solving for the radius gives us a radius of approximately 7.48 cm.


What is the formula for the diameter or a circle?

If you are given the radius of the circle, you can use the formula: diameter = 2*radius If you are given the circumference of the circle, you can use the formula: diameter = circumference/pi


What fraction of the diameter is the radius of a circle?

What name is given to the distance around circle


How find radius in a circle given angle and length of arc?

angle of arc/ angle of circle (360°) = length of the arc/ total circumference (2 pi* radius) so you just have to find r then so: angle of arc/ angle of circle (360°) *2pi = length of the arc/ radius radius= ength of the arc/ angle of arc/ angle of circle (360°) *2pi not that hard ;)

Related Questions

Given a circle with a radius of 6 what is the length of an arc measuring 60 degrees?

The length of an arc measuring 60 degrees given a circle with a radius of 6 is 2*pi, that is 6,2831 approximately.The perimeter of a circle is calculated with the formula:L = 2 * pi * rwhere L is the perimeter and r the radius of the circle. This is equivalent to calculating the length of an arc measuring 360 degrees. The length of any arc smaller than 360 is proportionally smaller. Given that 60 degrees is 1/6 of the total circle (360), the length of the arc will be 1/6 of the perimeter.2 * pi * 6L = --------------- = 2 * pi6


How do you find the radius given the chord length?

If you are given a chord length of a circle, unless you are given more information about the chord, you can not determine what the radius of the circle will be. This is because the chord length in a circle can vary from a length of (essentially) 0, up to a length of double the radius (the diameter). The best you can say about the radius if given the chord length, is that the length of the radius is at least as long has half half the chord length.


How do you find radius of a circle if cord length is given?

The longest chord in a circle is its diameter and halve of this is its radius.


What is the radius of a circle given an arc and its height?

if you are given the circle's "height" then that is the diameter. the diameter is twice the length of the radius, so divide the height by two and you will get the radius.


One radius of a circle is the same length as any other radius of any other radius?

The radius is the distance from the center of the circle to its edge. No matter how you draw this radius, it is one value of one length only, for any given circle.


How do you find the area of a circle when the radius is unknown?

By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.


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 find the central angle of a circle if I am given the arc length and radius?

(arc length / (radius * 2 * pi)) * 360 = angle


How do you construct a circle that has radius with an equal length to the given line segment?

Adjust the compass to the given line segment then construct the circle.


How do you find radius of a circle if given arc length?

you will need to know the angle subtended by the arc; arc length = radius x angle in radians


Find the circumference of a circle with radius of inches (use 3.14for Pi)?

That will depend on the length of the radius which has not been given but in general the circumference of a circle = 2*pi*radius or diameter*pi


How do you find length and width given the circumference?

If you mean the diameter and radius of a circle given the circumference it is:- diameter = circumference/pi radius = circumference/(2*pi)