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8) In a circle whose radius has length 3 in., the length of an arc is x in. What is the degree measure of that arc?

8) In a circle whose radius has length 3 in., the length of an arc is x in. What is the degree measure of that arc?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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do 8 please

### Geometry Practice Problems **7) Given:** \[m \angle 1 = x + 2y, \] \[m \angle 2 = 46^\circ, \] \[m \angle 3 = 10x + 2y \] Find: \(x\) and \(y\) *Explanation:* There is an accompanying diagram that shows a right triangle with angles \( \angle 1 \), \( \angle 2 \), and \( \angle 3 \) labeled. Angle \( \angle 1 \) and angle \( \angle 3 \) are adjacent to the right angle. **8) In a circle whose radius has length 3 in., the length of an arc is \( \pi \) in. What is the degree measure of that arc?** *Explanation:* This problem involves calculating the degree measure of an arc when given the length of the arc and the radius of the circle. **9) Given:** \[AB = 10, \] \[BP = 4, \] \[CD = 11 \] Find: \(DP\) *Explanation:* There is an image of a circle with points \(A\), \(B\), \(C\), and \(D\) marked on it. The problem involves finding the length of \(DP\), where \(AB\) and \(CD\) are segments intersecting at point \(P\). Please refer to the educational diagrams for a visual representation of these geometric problems. Solve each problem by applying appropriate geometric principles and theorems.
Transcribed Image Text:### Geometry Practice Problems **7) Given:** \[m \angle 1 = x + 2y, \] \[m \angle 2 = 46^\circ, \] \[m \angle 3 = 10x + 2y \] Find: \(x\) and \(y\) *Explanation:* There is an accompanying diagram that shows a right triangle with angles \( \angle 1 \), \( \angle 2 \), and \( \angle 3 \) labeled. Angle \( \angle 1 \) and angle \( \angle 3 \) are adjacent to the right angle. **8) In a circle whose radius has length 3 in., the length of an arc is \( \pi \) in. What is the degree measure of that arc?** *Explanation:* This problem involves calculating the degree measure of an arc when given the length of the arc and the radius of the circle. **9) Given:** \[AB = 10, \] \[BP = 4, \] \[CD = 11 \] Find: \(DP\) *Explanation:* There is an image of a circle with points \(A\), \(B\), \(C\), and \(D\) marked on it. The problem involves finding the length of \(DP\), where \(AB\) and \(CD\) are segments intersecting at point \(P\). Please refer to the educational diagrams for a visual representation of these geometric problems. Solve each problem by applying appropriate geometric principles and theorems.
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