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

Step-by-step explanation:

Area of circle:

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

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

= =

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

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

Step-by-step explanation:

d = 1 =

r =

 =

 =

Now, area of circle = πr² = π² = π

                                         = 1.767 cm²

Area of the semicircle = =

                                     = 0.88 cm²

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus