SOLUTION: A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.
Algebra.Com
Question 482513: A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A sector has an area of 50cm^2 and an arc length of 4 cm. Find its radius and central angle in radians.
**
x=central angle
Arc length,s=rx=4
x=4/r
Area=1/2r^2*x=50
r^2*x=100
r^2*4/r=100
4r=100
r=25cm
x=4/r=4/25 radians
RELATED QUESTIONS
Find the length of an arc and area of a sector of a circle of radius 30 cm, central angle (answered by Alan3354)
A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What (answered by josgarithmetic,MathTherapy)
An arc length of 120 cm subtends a central angle of radius 48 cm . Find the central angle (answered by Alan3354)
a sector of a circle has area 8.1pi cm squared and central angle 36 degrees. find its... (answered by Earlsdon,fractalier)
In a circle of radius 5 cm, a sector has a central angle 2 rad.
a. Find the arc length... (answered by ikleyn)
1. Find the area of the shaded sector. Leave answer in terms of pi. Using 8m and... (answered by Boreal)
A sector of a circle has a central angle of 50 degrees and an area of 650 cm^2. Find the... (answered by mananth)
In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of... (answered by Alan3354)
An arc of length 135 m subtends a central angle θ in a circle of radius 45 m. Find... (answered by lwsshak3)