Question

Measure of an arc


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Answer 1

Answer:

Measure of minor = Central angle

Measure of major arc 360° = major of minor arc

Measure of complete circle is 360°

Measure of semicircle is 180°

Answer 2

Answer:

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

Step-by-step explanation:

How do I find the measure of an arc?

You know the Formula of finding the circumference of a circle. The circumference is nothing but a closed curvature having equidistant from the centre of the circle. The equidistant element is the radius and the closed curvature has 360 degree angular shape.

Therefore for finding the lengths of any Arc, just measure the angular distance from the Centre of Circle. This angular measure is the proportionate part of the whole 360 circumference.

Now divide the circumference by 360, and multiply by the angular measure. You would get the desired measure of the Arc.

An example... A circle has 28 cms r. The circumference would be...

2πr.... Or 2.22/7.28 = 88 x 4 = 342 cms. To find the length of anc which subtends an angular measure of 35 degrees at the centre. Then the length of the arc should be …

(342 x 35)/360 = 33.25 cms.

Take any angular measure this formula is to be applied for the Arc.