a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 97.9 cm long. 1/360th of the circumference of the circle is 0.55 cm long. What is the measure of this angle in degrees? ]* degrees 53.845 Preview b. A circle with a circumference of 450 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 283.75 cm long. What is the measure of this angle in degrees? Hint: What portion of the circumference of the circle is this ray? How many degrees are in a circle? * degrees Preview Hint: Start by computing 1/360" of the circumference of the circle, and then use that as your unit of measure to measure the subtended arc.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
icon
Related questions
Question
a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 97.9 cm long. 1/360th of the circumference of the
circle is 0.55 cm long. What is the measure of this angle in degrees?
]* degrees
53.845
Preview
b. A circle with a circumference of 450 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 283.75 cm long.
What is the measure of this angle in degrees?
Hint: What portion of the circumference of the circle is this ray? How many degrees are in a circle?
* degrees
Preview
Hint: Start by computing 1/360" of the circumference of the circle, and then use that as your unit of measure to measure the subtended
arc.
Transcribed Image Text:a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 97.9 cm long. 1/360th of the circumference of the circle is 0.55 cm long. What is the measure of this angle in degrees? ]* degrees 53.845 Preview b. A circle with a circumference of 450 cm is centered at the vertex of an angle, and the angle's rays subtend an arc that is 283.75 cm long. What is the measure of this angle in degrees? Hint: What portion of the circumference of the circle is this ray? How many degrees are in a circle? * degrees Preview Hint: Start by computing 1/360" of the circumference of the circle, and then use that as your unit of measure to measure the subtended arc.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL