PLZZZ HELP ( 18 POINTS)

Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, approximately how long will it take Jesse to finish sanding the table?

Use 3.14 for pi.

A3.8
B5.7
C22.6
D30.0

Verified Answer :

The answer is B. 5.7 took the test and got 100% 

Answer:

Option B is correct.

5.7 hours

Step-by-step explanation:

Area of a circle(A) is given by:

\(A = \pi r^2\)

where r is the radius of the circle.

As per the statement:

Jesse is sanding a circular wooden table that has a diameter of 6 ft.

⇒diameter(d) =6 ft

We know

diameter = 2 (radius)

⇒\(6 = 2r\)

Divide both sides by 2 we have;

\(r = 3 ft\)

Substitute r =3 ft and \(\pi = 3.14\) in [1] we have;;

\(A = 3.14 \cdot 3^2\)

⇒\(A = 3.14 \cdot 9 = 28.26\) square ft

It is also given that:

She can sand 5 square feet every hour.

⇒5 square feet = 1 hour

then;

28.26 square feet = \(\frac{28.26}{5} = 5.652\) hours.

Therefore, at this rate, approximately 5.7 hours will it take Jesse to finish sanding the table