A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.

What is the radian measure of the central angle?

Question

Mathematics

Malaki Rowland

29 January, 21:59

A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.

What is the radian measure of the central angle?

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Answers (1)

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Allison Shepard · Answer 1

central angle/full circle = arc length/circumference

Θ/2π = (5π/12 cm) / (2π * 25 cm)

Θ = 2π (5π/12 cm) / (2π * 25 cm)

= (2π) (5π cm) / (12) (2π) (25 cm)

= π/60

A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.What is the radian measure of the central angle?

A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.

What is the radian measure of the central angle?