How to find the radius of a circle if the arc length is 4π cm and the corresponding center angle is 60 degrees.

univerkov | January 10, 2021 | education

The formula for the arc length by angle: l = π * R * n / 180, where R is the radius, n is the central angle.
Let’s substitute our values, which are given in the condition, into the formula: 4π = π * R * 60/180.
Reduce the numbers 180 and 60: 4π = π * R / 3.
Multiply both sides by 3: 12π = π * R.
Hence, R = 12 cm.
Our answer: the radius is 12 cm.

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