+0

# The area of a sector of a circle with a central angle of 9𝜋/14 rad is 21 m2. Find the radius of the circle. (Round your answer to one decim

0
248
3

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

Nov 17, 2020

#1
0

A central angle 𝜃 in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of 𝜃 in degrees. (Round your answer to one decimal place.)

Nov 17, 2020
#3
+1

A central angle 𝜃 in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of 𝜃 in degrees. (Round your answer to one decimal place.)

Hello Guest!

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

$$\theta=71.6\ deg$$

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

$$\theta =1.25\ rad$$ !

asinus  Nov 17, 2020
edited by asinus  Nov 17, 2020
#2
+1

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

Hello Guest!

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

$$r=20.8\ m$$ !

Nov 17, 2020