Calculating the Ratio of Arc Length to Circumference The measure of overparen (AB) is 40^circ Calculate the ratio of the length of the arc to the circle's circumference. A circle has 360^circ Therefore, you can compare the degree measure of the arc to the degree measure of the entire circle to determine the fraction of the circle that the arc occupies. This is the same as the ratio of the arclength to the circle's circumference (40^circ )/(360^circ )=(1)/(9) The arc is (1)/(9) of the circle's circumference. The measure of overparen (EF) is 120^circ Arc EF is (1)/(3) of the circle's circumference. The measure of hat (GH) is 150^circ Arc GH is (5)/(12) of the circle's circumference. The measure of overparen (KL) is 75^circ Arc KL is square of the circle's circumference.

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$Calculating the Ratio of Arc Length to Circumference The measure of overparen (AB) is 40^circ Calculate the ratio of the length of the arc to the circle's circumference. A circle has 360^circ Therefore, you can compare the degree measure of the arc to the degree measure of the entire circle to determine the fraction of the circle that the arc occupies. This is the same as the ratio of the arclength to the circle's circumference (40^circ )/(360^circ )=(1)/(9) The arc is (1)/(9) of the circle's circumference. The measure of overparen (EF) is 120^circ Arc EF is (1)/(3) of the circle's circumference. The measure of hat (GH) is 150^circ Arc GH is (5)/(12) of the circle's circumference. The measure of overparen (KL) is 75^circ Arc KL is square of the circle's circumference.$

Calculating the Ratio of Arc Length to Circumference The measure of overparen (AB) is 40^circ Calculate the ratio of the length of the arc to the circle's circumference. A circle has 360^circ Therefore, you can compare the degree measure of the arc to the degree measure of the entire circle to determine the fraction of the circle that the arc occupies. This is the same as the ratio of the arclength to the circle's circumference (40^circ )/(360^circ )=(1)/(9) The arc is (1)/(9) of the circle's circumference. The measure of overparen (EF) is 120^circ Arc EF is (1)/(3) of the circle's circumference. The measure of hat (GH) is 150^circ Arc GH is (5)/(12) of the circle's circumference. The measure of overparen (KL) is 75^circ Arc KL is square of the circle's circumference.

Answer 1

To find the ratio of the length of arc KL to the circle's circumference, we need to compare the degree measure of arc KL to the degree measure of the entire circle. Given that the measure of arc KL is $75^{\circ}$, we can calculate the ratio as follows: $\frac{75^{\circ}}{360^{\circ}} = \frac{5}{24}$ Therefore, arc KL is $\frac{5}{24}$ of the circle's circumference.

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