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

the line of

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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