HOW DO YOU DO ONLY NINE SENTENCES
Answer:
64 + 4.5π or 78.13 inches
Explanation:
Dear friend,
I hope you are well. The rest of this letter will explain your math problem.
As you can see from the diagram below, there are 3 individual shapes that make up the figure. Let us find the area of each shape individually.
The formula to find the area of a circle is π
. However, we are finding a semicircle so we must solve for half of a circle. The formula becomes
π
. The
in the formula is the radius. It is given the diameter (which is double the radius) is six. Therefore, the radius is 3 in. If plug in the values we get
π which is 4.5π I am not sure if you want the answer in terms of π or just the estimated value. The estimated value (using 3.14 instead of π) would be 14.13.
Now we shall find the area of the rectangle. This is a 6x10 inch rectangle. The answer is 60. You probably know how to solve multiplication. 6 can be seen as 6.0. Multiplying by 10 moves the decimal point one number to the right so it becomes 60.0: 60.
The length of the base of the triangle can be found even though the diagram does not directly give us the base length. the length of the base of the rectangle and triangle combined is 14 inches. We know that the rectangle has a base length of 10 because it is given. Therefore we must find the remaining length which is 4 because 14-10=4. The formula for finding the area of a triangle is
we know that the base is 4 and the height is 6 so we plug in the numbers and simplify to get 12.
We must add each of the areas to find the area of the whole figure. The Semi-circle is 4.5π(14.13) and the rectangle is 60 and the triangle is 4. The answer is 64 + 4.5π or 78.13
Your friend,
(Name)