Consider circle c with radius 5 cm and a central angle measure of 60°
what is the approximate length of arc rs?

5π/3 or 5.2 cm

Step-by-step explanation:

To solve for the arc RS, we first need to find the circumference of this circle. We can receive the circumference by using the formula C=2πr, where C is the circumference and r is the radius.

Our radius is 5 cm, so we can derive the circumference by substituting r=5 into C=2πr. So,

C=2π • 5

C=10π

We won't multiply 10 by π fully until the end to keep the steps organized.

Now, we have to determine what portion of the circumference arc RS takes up. Note that a circle has a total of 360 degrees and the central angle is 60 degrees. We now set 60 and 360 as a fraction and we get that arc RS is 1/6 of the circumference of the circle. This means that the arc RS measures,

10π ÷ 6

=5.2 cm

300 cm Ans.

Step-by-step explanation:

there is a formula , called the central angle that is thita is equal to the ratio of length of arc by the radius of the circle . So we get ,

Central Angle (60) = length of arc (x ) let diveded by radius of circle (5).

60 = x \ 5 .

So x = 300 m

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)