58. PERIMETER AND AREA OF A QUARTER CIRCLE The perimeter of the figure shown here consists of a quarter circle and two straight sides. a. Complete the following table. Radius of the quarter circle (in.) 3.0 4.0 5.0 6.0 7.0 Perimeter of the figure Area of the figure
58. PERIMETER AND AREA OF A QUARTER CIRCLE The perimeter of the figure shown here consists of a quarter circle and two straight sides. a. Complete the following table. Radius of the quarter circle (in.) 3.0 4.0 5.0 6.0 7.0 Perimeter of the figure Area of the figure
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.2: Graphs Of Linear Equations And Slope
Problem 46E
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![58. PERIMETER AND AREA OF A QUARTER CIRCLE The perimeter of the figure shown here
consists of a quarter circle and two straight sides.
a. Complete the following table.
Radius of the quarter circle (in.)
3.0
4.0
5.0
6.0
7.0
Perimeter of the figure
Area of the figure
b. Plot the graph of the perimeter in terms of the radius. Plot the graph of area in terms of
the radius. Which graph appears to be linear. (Note: Because of rounding, the slope may
not appear to be exactly constant.)
c. Write an equation for the perimeter in terms of the radius. Write an equation for the area
in terms of the radius. Which equation is linear?
d. Determine the slope of the linear equation. Explain how you did this.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92ab3c20-a3cd-4c1e-8775-52ac5ed4d4cf%2F58e50b4c-0813-4237-9d5f-23e995339c5c%2Fvn0c7d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:58. PERIMETER AND AREA OF A QUARTER CIRCLE The perimeter of the figure shown here
consists of a quarter circle and two straight sides.
a. Complete the following table.
Radius of the quarter circle (in.)
3.0
4.0
5.0
6.0
7.0
Perimeter of the figure
Area of the figure
b. Plot the graph of the perimeter in terms of the radius. Plot the graph of area in terms of
the radius. Which graph appears to be linear. (Note: Because of rounding, the slope may
not appear to be exactly constant.)
c. Write an equation for the perimeter in terms of the radius. Write an equation for the area
in terms of the radius. Which equation is linear?
d. Determine the slope of the linear equation. Explain how you did this.
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