Question

This figure is made up of a triangle and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round only your final answer to the nearest tenth.

Answer 1

Area = 14.8 sq. units

Explanation:

As we have seen that

This figure is made up of a triangle and a semicircle.

The formula to calculate the area of triangle is:

A = 1/2×b×h where b is base of triangle and h is height of triangle.

The formula for area of semi-circle is :

A = 1/2×π×r² where r is radius of circle.

The area of figure is sum of area of triangle and semi-circle.

As we have seen that diameter of semi-circle is equal to the base of triangle Which is equal to 5 units.

Hence, radius = diameter/2= 5/2

r = 2.5 units

base= 5 units

height = 2 units

Area of figure = 1/2×π×r² + 1/2×b×h

Putting values in above formula, we have

Area = 1/2×π×(2.5)²+1/2×5×2

Area = 1/2×π×6.25+1/2×10

Area = 9.8125+5

Area = 14.8125 sq. units

Area = 14.8 sq. units which is the answer.

Answer 2

Answer: 14.8units²

Explanation:

The formula for calculate the area of a triangle is:

`A_t=bh/2`

Where b (
`b=5units`) is the base and h (
`h=2units`) is the height.

The formula for calculate the area of a semicircle is:

`A_c=r^(2)\pi/2`

Where r is the radius.

As you can see, the diameter is 5 units, then the radius is:

`r=(5units)/(2)=2.5units`

The area of the figure is the sum of the area of the triangle and the area of the semicircle.

Then, the result is:

`A=A_t+A_c\\A=(5units*2units)/(2)+((2.5units)^(2)(3.14))/(2)=14.8units^(2)`