Find the length of a circle with a radius of 9 cm. What is the length of its arc with a degree measure of 20.
| January 22, 2021 | education
The task is to find the length of a circle with a radius of 9cm and a sector of 20 °.
The circumference is. Where L is the circumference. R is its radius.
R = 2n * R = 6.28 cm * 9 = 56.54 cm.
We find the length of the sector of the circle equal to 20 °. And since it is known from geometry that a circle has an angle of 360 °, we get. Where l is the sector of the circle.
l = L * 20 °: 360 ° = 56.54 cm * 20 °: 360 ° = 3.141 cm.
The problem is solved, the length of the sector of the circle is found.
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