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Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSF-TF.A.1
Author: nsharp1
Created: 4 years ago

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Trigonometry Question

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Grade 11 Trigonometry CCSS: HSF-TF.A.1

There are two circles, circle A and circle B. The radius of circle B is twice the length of the radius of circle A. Let

$s_A$ be the length of an arc on circle A and

$s_B$ be the length of an arc on circle B. If

$s_B = 2s_A$ , what can be said about the two angles subtended by these arcs,

$theta_A$ in circle A and

$theta_B$ in circle B?

$theta_A = 2 theta_B$
$theta_A = 1/2 theta_B$
$theta_A = theta_B$
No conclusion can be made without knowing the actual lengths of the radii and arcs.