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The area of a sector of a circle with a central angle of 9πœ‹/14 rad is 21 m2. Find the radius of the circle. (Round your answer to one decimal place.)             helpppp

 Nov 17, 2020
 #1
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A central angle πœƒ in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of πœƒ in degrees. (Round your answer to one decimal place.)

 

Find the measure of πœƒ in radians. (Round your answer to two decimal places.)
πœƒ =         rad

 Nov 17, 2020
 #3
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A central angle πœƒ in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of πœƒ in degrees. (Round your answer to one decimal place.)

 

Hello Guest!

 

\(b=r\cdot \theta \\ \theta =\frac{b}{r}\cdot \frac{180Β°}{\pi}\\ \theta =\frac{5m}{4m}\cdot \frac{180\deg}{\pi}\\\)

\(\theta=71.6\ deg\)

 

Find the measure of πœƒ in radians. (Round your answer to two decimal places.)

\(b=r\cdot \theta \\ \theta =\frac{b}{r}\\ \theta =\frac{5m}{4m} \)

 

\(\theta =1.25\ rad\)

laugh  !

asinus  Nov 17, 2020
edited by asinus  Nov 17, 2020
 #2
avatar+11233 
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The area of a sector of a circle with a central angle of 9πœ‹/14 rad is 21 m2. Find the radius of the circle. (Round your answer to one decimal place.)     

 

Hello Guest!

 

\(A=r^2\pi \cdot\frac{9\pi}{14\cdot 2\pi }\\ A=r^2\cdot\frac{9\pi}{28}\\ r=\sqrt{\frac{28A}{9\pi }}\\ r=\sqrt{\frac{28\cdot 21m^2}{9\pi }}\)

\(r=20.8\ m\)

laugh  !

 Nov 17, 2020

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