Given circle B, what is its diameter if its area is 56 square units?

Diameter of the circle is 8.4 units

Step-by-step explanation:

To find the diameter of a circle with area of 56 square units, we will follow the steps below:

write the formula for calculating the area of a circle

area of a circle = πr²

from the question area= 56 units .

π is a constant which is ≈ 3.14

we can now proceed to substitute the values into the formula and solve for r

area of a circle = πr²

56 = 3.14×r²

divide both-side of the equation by 3.14

17.83 = r²

take the square root of both-side

√17.83 = √r²

4.2 =r

r= 4.2 units

but diameter = 2 r

diameter = 2×4.2

diameter = 8.4 units

Diameter of the circle is 8.4 units

the answer is 24

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3