MATHEMATICS MIDDLE SCHOOL

A triangle is inside a circle where the triangle's base is on the circle's diameter as shown.What is the area of the shaded region?

Use 3.14 for π .

Enter your answer as a decimal in the box.
A triangle is inside a circle where the triangle's base - 1

Answers

Answer 1
Answer:

Answer:

A_(shaded)= 136.96 ft^(2)

Step-by-step explanation:

We will find the shaded area if we subtract the area of the triangle from the area of the circle.

We know that the area of the circle is defined as

A= \pi r^(2)

Where r is half the diameter, that is

r=(16ft)/(2)=8ft

The area of the circle is

A= \pi r^(2)\nA= 3.14 (8ft)^(2) =200.96ft^(2)

Now, we have to find the area of the triangle, which is defined as

A_(\triangle) =(bh)/(2)

Where b is the base of 16 feet, and h is the height of the triangle which is on the radius. So, we have b=16ft and h=8ft.

The area of the triangle is

A_(\triangle) =(16ft(8ft))/(2)=64ft^(2)

Now, the shaded is the difference as we said before, that is

A_(shaded)=A-A_(\triangle)

Replacing both areas, we have

A_(shaded)=200.96 ft^(2) - 64ft^(2)= 136.96 ft^(2)

Therefore, the shaded area is A_(shaded)= 136.96 ft^(2)
Answer 2
Answer: area of a circle=pi x r^2= 3.14 x 8^2(half of the radius)=3.14 x 64=200.96

area of triangle= 1/2 bh=1/2(16)(8)=1/2(128)=64

200.96-64=136.96 sq.ft

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Final answer:

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Explanation:

This is a number pattern question, commonly taught in mathematics. In this pattern, each number increases by a growing amount. The increment between the numbers is increasing by 1 each time. For example, 1 to 2 is an increase of 1, 2 to 4 is an increase of 2, 4 to 7 is an increase of 3, and 7 to 11 is an increase of 4. Therefore, to find the next number in the sequence, you would add 5 to 11. Thus, the next number is 16.


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