If the diameter of the circle is 12 inches and the height of the triangle is 14 inches, which is closest to the area of the figure in square inches?
no idea, since you cannot show, and will not describe the figure.
But surely you have formulas for the areas of circles and triangles.
Use them here.
To find the area of the figure, we first need to figure out what figure is being described. Based on the information given (circle and triangle), it seems that the figure is a combination of a circle and a triangle.
Let's start by finding the area of the circle. The area of a circle can be found by using the formula: A = πr², where A is the area and r is the radius.
Since we are given the diameter, which is the distance across the circle passing through its center, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 12 inches / 2 = 6 inches
Now we can use the formula to find the area of the circle:
Circle Area (A) = π × 6² = π × 36 ≈ 113.1 square inches
Next, let's find the area of the triangle. To find the area of a triangle, we use the formula: A = (base × height) / 2.
We are given the height of the triangle, which is 14 inches. However, we are not given the base of the triangle. Without the base length, we cannot determine the area of the triangle accurately. Therefore, we cannot find the exact area of the figure.
However, since the question asks for the closest area, we can estimate the area by assuming the base of the triangle has the same length as the diameter of the circle. In this case, the base length would be 12 inches.
Triangle Area (A) = (12 × 14) / 2 = 168 square inches
So, the closest estimated area of the figure would be 168 square inches.