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Q: How do you find the length of the arc in a semi circle when its radius is given?

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

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

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

You would have to know the length of the radius. The center of the circle is at one end of the radius. If you just know where some part of the radius is, and not that the part touches the circle then you cannot know where the center is without at lest a point on the circumference.

Diameter of a circle = 2*radius Circumference of a circle = 2*radius*pi

Related questions

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

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.

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

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

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.

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

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

radius = diameter/2

Double the radius

You would have to know the length of the radius. The center of the circle is at one end of the radius. If you just know where some part of the radius is, and not that the part touches the circle then you cannot know where the center is without at lest a point on the circumference.

Diameter of a circle = 2*radius Circumference of a circle = 2*radius*pi

You times the radius by 2.