Consider a circle with point (2, -3) as its center and point (-1, 1) on the circle, and answer the following questions. a) What is the radius of the circle? b) Is point (4, 3) outside, inside, or on the circle? c) Is point (1,5) outside, inside, or on the circle? 5. Consider an upright rectangle (i.e., a rectangle with two sides parallel to the y axis) with (x1, y1) as its top-left corner and (x2, y2) as its bottom-right corner, and a circle with center (a, b) and radius r. Read these points and determine if the circle is completely inside, outside or partially overlapping with the rectangle. Draw a flowchart to show the algorithm.

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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Question
Consider a circle with point (2, -3) as its center and point (-1, 1) on the circle, and answer
the following questions.
a) What is the radius of the circle?
b) Is point (4,3) outside, inside, or on the circle?
c) Is point (1,5) outside, inside, or on the circle?
5.
Consider an upright rectangle (i.e., a rectangle with two sides parallel to the y axis) with (x1,
y1) as its top-left corner and (x2, y2) as its bottom-right corner, and a circle with center (a, b) and
radius r. Read these points and determine if the circle is completely inside, outside or partially
overlapping with the rectangle. Draw a flowchart to show the algorithm.
Transcribed Image Text:Consider a circle with point (2, -3) as its center and point (-1, 1) on the circle, and answer the following questions. a) What is the radius of the circle? b) Is point (4,3) outside, inside, or on the circle? c) Is point (1,5) outside, inside, or on the circle? 5. Consider an upright rectangle (i.e., a rectangle with two sides parallel to the y axis) with (x1, y1) as its top-left corner and (x2, y2) as its bottom-right corner, and a circle with center (a, b) and radius r. Read these points and determine if the circle is completely inside, outside or partially overlapping with the rectangle. Draw a flowchart to show the algorithm.
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