If a 4 minutes 1 of the area the a circle is

, climate what is a quarter of the circumference of the circle?Explanation:

If a quarter of the area of a circle is

, climate the area the the whole circle is . This means that the radius the the one is 6. The diameter is 12. Thus, the circumference of the one is . One fourth of the one is .In the figure above, one *C* has a radius the 18, and the measure up of edge *ACB* is same to 100°. What is the perimeter the the red shaded region?

Explanation:

The perimeter that any region is the complete distance roughly its boundaries. The perimeter that the shaded an ar consists that the two right line segments, *AC* and *BC*, and the arc *AB*. In bespeak to find the perimeter the the whole region, we must include the lengths the *AC*, *BC*, and also the arc *AB*.

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The lengths that *AC* and also *BC* space both going come be same to the size of the radius, i m sorry is 18. Thus, the perimeter the *AC* and *BC* together is 36.

Lastly, we must uncover the length of arc *AB* and add it come 36 to obtain the totality perimeter that the region.

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Angle *ACB* is a main angle, and it intercepts arc *AB*. The length of *AB* is going to equal a certain part of the circumference. This part will be equal to the ratio of the measure of angle *ACB* to the measure up of the full degrees in the circle. There space 360 degrees in any type of circle. The ratio of the edge *ACB* to 360 levels will be 100/360 = 5/18. Thus, the size of the arc *AB* will be 5/18 of the circumference of the circle, which equals 2*πr*, follow to the formula because that circumference.