The measure of the central angle of a sector of a circle is 90degrees. The arc length of the sector is 3(pie) cm. What is the radius of the circle?
The circumference of the circle = 2 r pi
The measure of the sector 90 ° = ( 1 / 4 ) 2 r pi = r pi / 2
r pi / 2 = 3 pi Divide both sides by pi
r / 2 = 3 Multiply both sides by 2
r = 2 * 3
r = 6 cm
Thanks so much!
A circke has an arc length of 10 feet. The central angle formed os 60°. What is the area of the sector?
To find the radius of the circle, we can use the formula for the arc length of a sector:
Arc length = radius * central angle
In this case, the arc length is given as 3π cm and the central angle is given as 90 degrees.
Substituting the given values into the formula, we have:
3π = radius * 90
To solve for the radius, we can divide both sides of the equation by 90:
3π/90 = radius
Simplifying the fraction:
π/30 = radius
So, the radius of the circle is π/30 cm.