Question

If an area in the form of a circle is to be roped off by a rope 10 m long, what will be the radius of this area? Round your answer to two decimal places.

A. 1.59 m
B. 2.56 m
C. 3.18 m
D. 0.31 m

Answer 1

Your answer is A. 1.59 m.

Hope this helps.

Answer 2

A. 1.59 m

Explanation:

To find the radius of the area we wil; simply use the formula; C = 2π R

where C is the circumference of the circle, π is a constant that is always 3.14 approximately, except given otherwise and R is the radius.

From the question, since the circle is formed by roping off a rope 10 m long, then it implies that the circumference (c) = 10

We can now proceed to substitute our values into the formula;

C = 2π R

10 ≈ 2×3.14×R

10 ≈ 6.28R

Divide both-side of the equation by 6.28

`(10)/(6.28) = (6.28 R)/(6.28)`

(At the right-hand side of the equation 6.28 will cancel-out 6.28 leaving us with just R while at the left-hand side of the equation, 10 will be divided by 6.28)

1.592≈R

R≈1.59 m

Therefore, the radius of this area will be 1.59 m