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
A central angle π in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of π in degrees. (Round your answer to one decimal place.)
Find the measure of π in radians. (Round your answer to two decimal places.)
π = rad
A central angle π in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of π 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 in radians. (Round your answer to two decimal places.)
\(b=r\cdot \theta \\ \theta =\frac{b}{r}\\ \theta =\frac{5m}{4m} \)
\(\theta =1.25\ rad\)
!
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!
\(A=r^2\pi \cdot\frac{9\pi}{14\cdot 2\pi }\\ A=r^2\cdot\frac{9\pi}{28}\\ r=\sqrt{\frac{28A}{9\pi }}\\ r=\sqrt{\frac{28\cdot 21m^2}{9\pi }}\)
\(r=20.8\ m\)
!