Calculate the length of an arc of a circle with a radius of 10 cm if its degree measure is 150 degrees.

univerkov | July 1, 2021 | education

Calculate the length of an arc of a circle with a radius of 10 cm if its degree measure is 150 degrees. Find the area of the sector.

Using the formula for the length of the arc, we determine the length of the small arc AB.

Lav = π * R * α / 180 = π * 10 * 150/180 = 8 (1/3) * π cm.

Let’s determine the area of the AOB sector.

Ssec = π * R ^ 2 * α / 360 = π * 100 * 150/360 = 80 (1/3) * π cm2.

Answer: The length of the arc is 8 (1/3) * π cm, the area of the sector is 80 (1/3) * π cm2.

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