Question

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Check all that apply.

1.The radius of the large circle is 4.
2.The radii of the small circles are each 2.
3.The radii of the small circles are each 4.
4.The area of one small circle will be one-half of the area of the large circle.
5.The total area of the two small circles will equal that of the large circle.
6.The total area of the two small circles will be one-half of the area of the large circle.

Answer 1

The answer is: 1, 2, and 6

Explanation:

Answer 2

Answer with Step-by-step explanation:

Diameter of larger circle=8

Diameter of smaller circles=4

We know that radius is half times the diamketer

and Area=πr² where r is the radius

Radius of larger circle=4

Radius of smaller circles=2

Area of larger circle=π×4²

=16π

Area of two smaller circles=2×π×2²

= 8π=one-half the area of larger circle

Area of one small circle=π×2²

=4π=one fourth the area of larger circle

Hence, the correct options are:

1.The radius of the large circle is 4.

2.The radii of the small circles are each 2.

6.The total area of the two small circles will be one-half of the area of the large circle.