Question

What is the area of a semi circle that has a diameter of 1 1/2?

Answer 1

Answer:

$A=0.8836$

Step-by-step explanation:

Area of circle:

$\pi r^2$

By using the area of a circle, we can get the area of a semicircle:

$\frac{\pi r^2}{2}$

Let's convert the mixed fraction to an improper fraction and then a decimal:

$1\frac{1}{2}$ = $\frac{3}{2}$ = $1.5$

Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:

$\frac{1.5}{2} =0.75$

Now we have the radius, so we can plug in our values and find the area:

$\frac{\pi0.75^2}{2} = 0.88357293$

$A=0.88357293$

Answer 2

Answer:

0.88 cm²

Step-by-step explanation:

d = 1$\frac{1}{2}$ = $\frac{3}{2}$

r = $\frac{d}{2}$

 = $\frac{3}{2*2}$

 = $\frac{3}{4}$

Now, area of circle = πr² = π$\frac{3}{4}$² = π$\frac{9}{16}$

                                         = 1.767 cm²

Area of the semicircle = $\frac{Area of Circle}{2}$ = $\frac{1.767}{2}$

                                     = 0.88 cm²