14. A student is deriving the area of a circle formula. The derivation begins by constructing a circle and cutting it into eight equal sectors as shown below. What is the next step of the derivation? Rearrange the sectors to form a shape that resembles a parallelogram. Rearrange the sectors to form a shape that resembles a trapezoid. Find the area of one sector. Cut each of the eight sectors in half.

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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14. A student is deriving the area of a circle formula. The
derivation begins by constructing a circle and cutting it into
eight equal sectors as shown below. What is the next step
of the derivation?
Rearrange the sectors to form a shape that resembles a
parallelogram.
Rearrange the sectors to form a shape that resembles a
trapezoid.
Find the area of one sector.
Cut each of the eight sectors in half.
Transcribed Image Text:14. A student is deriving the area of a circle formula. The derivation begins by constructing a circle and cutting it into eight equal sectors as shown below. What is the next step of the derivation? Rearrange the sectors to form a shape that resembles a parallelogram. Rearrange the sectors to form a shape that resembles a trapezoid. Find the area of one sector. Cut each of the eight sectors in half.
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