Problem preview
G-C.5 Warmup M2-033-A09-V04

Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.

Find the radius from an arc length and a central angle in radians

Problem

Find the radius when the arc length is \(15\pi~\) and the central angle is \(5\pi~/6~\text{radians}\).

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-C.5
Category
Geometry
Domain
Circles
Objective
Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.
Problem type
Find the radius from an arc length and a central angle in radians