What is the area of the circle shown if the area of the shaded sector is approximately 7.5 cm2?



(Points : 1)

45 cm2


75 cm2


90 cm2


112 cm2

What is the area of the circle shown if the area of the shaded sector is approximately 7.5 cm2? (Points : 1) 45 cm2 75 cm2 90 cm2 112 cm2 class=

Verified Answer :

The question is asking to choose among the following choices that sates the are of the circle as shown in the diagram if the shaded sector is approximately 7.5, and base on my calculation, I would say that the answer would be 45cm^2. I hope you are satisfied with my answer and feel free to ask for more

Answer:

45 square centimeters


Step-by-step explanation:

The shaded region is  \(\frac{1}{6}\)  of the whole circle. That means, the shaded region is 1 part of 6 parts in the circle.

Shaded region has area of 7.5 square centimeters. This is 1 part.

So, the area of 6 parts would be  \(7.5*6=45\) square centimeters.

6 parts IS the WHOLE circle, hence, the area of the circle is 45 square centimeters.