A button has a diameter of 0.80 inches

What is the exact area of the button in terms of pi?

A+ pi r^2

11 answers

The area of the button can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius of the circle.

Given that the diameter of the button is 0.80 inches, the radius (r) is half of the diameter, so r = 0.80 / 2 = 0.40 inches.

Therefore, the exact area of the button in terms of π is:
A = π(0.40)^2
A = π(0.16)
A = 0.16π square inches

So, the exact area of the button in terms of π is 0.16π square inches.
Find the area of the figure below.

A=1/2 (1^b+2^b) (h)

12m+8m+16m
To find the area of the figure below, we need to use the formula for the area of a trapezoid, which is A = (1/2)(b1 + b2)(h), where b1 and b2 are the lengths of the two parallel bases, and h is the height.

Given:
b1 = 12m
b2 = 8m
h = 16m

Substitute these values into the formula:
A = (1/2)(12m + 8m)(16m)
A = (1/2)(20m)(16m)
A = 10m * 16m
A = 160m^2

Therefore, the area of the trapezoid is 160 square meters.
But the answers are

A. 18 m^2

B. 36 m^2

C. 112 m^2

D. 224 m^2
I apologize for the mistake. Let's recalculate the area of the figure using the correct formula.

Given:
b1 = 12m
b2 = 8m
h = 16m

Substitute these values into the formula for the area of a trapezoid:
A = (1/2)(b1 + b2)(h)
A = (1/2)(12m + 8m)(16m)
A = (1/2)(20m)(16m)
A = 10m * 16m
A = 160m^2

Therefore, the area of the trapezoid is 160 square meters, which is not listed among the answer options. It seems like there might be an error in the provided answer choices. The correct area should be 160 m^2.
choose the one that is correct, and also from the choices given
In that case, let's reevaluate the answer choices provided:

Given:
b1 = 12m
b2 = 8m
h = 16m

Using the formula for the area of a trapezoid:
A = (1/2)(b1 + b2)(h)
A = (1/2)(12m + 8m)(16m)
A = (1/2)(20m)(16m)
A = 10m * 16m
A = 160m^2

From the given answer choices:
A. 18 m^2
B. 36 m^2
C. 112 m^2
D. 224 m^2

The correct area of the trapezoid is 160 m^2, which is not among the answer choices. It seems like none of the provided choices are correct based on the calculated area of the trapezoid.
But choose from one of the answer choices
Given the available answer choices, let's find the one that is closest to the actual area of the trapezoid, which is 160 m^2.

Comparing the calculated area (160 m^2) with the answer choices:
A. 18 m^2 - Not a close match
B. 36 m^2 - Not a close match
C. 112 m^2 - Not a close match
D. 224 m^2 - Close, but more than double the actual area

Among the given answer choices, option D. 224 m^2 is the closest to the actual area of 160 m^2, though it is more than double the correct value.
Find the area of the figure below.

7 in+ 6 in+ 12 in
To find the area of the figure provided, you need to add the three given dimensions and then find the area of the result.

Given:
Side 1: 7 in
Side 2: 6 in
Side 3: 12 in

Calculating the perimeter of the figure:
Perimeter = Side 1 + Side 2 + Side 3
Perimeter = 7 in + 6 in + 12 in
Perimeter = 25 in

The perimeter is 25 inches, but to find the area of the figure, we need more information. The perimeter alone is not enough to determine the area without knowing the shape of the figure. If you can provide the shape of the figure or more information, I can help you find the area.