MATH SOLVE

5 months ago

Q:
# how to solve number 4

Accepted Solution

A:

Find the first semicircle area

Area semicircle can be determined by dividing the full area of circle by 2.

The first semicircle radius is 5 cm

semicircle area = 1/2 circle area

semicircle area = 1/2 × π × r²

semicircle area = 1/2 × 3.14 × 5²

semicircle area = 1/2 × 3.14 × 25

semicircle area = 39.25 cm²

Find the second semicircle area

Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².

Find the quarter circle area

The area of quarter circle can be determined by dividing the full area of a circle by 4.

q circle = 1/4 × area of circle

q circle = 1/4 × π × r²

q circle = 1/4 × 3.14 × 10²

q circle = 1/4 × 314

q circle = 78.5 cm²

To find the entire area, add the area above together

area = first semicircle + second semicircle + q circle

area = 39.25 + 39.25 + 78.5

area = 157

The area of shaded region is 157 cm²

Area semicircle can be determined by dividing the full area of circle by 2.

The first semicircle radius is 5 cm

semicircle area = 1/2 circle area

semicircle area = 1/2 × π × r²

semicircle area = 1/2 × 3.14 × 5²

semicircle area = 1/2 × 3.14 × 25

semicircle area = 39.25 cm²

Find the second semicircle area

Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².

Find the quarter circle area

The area of quarter circle can be determined by dividing the full area of a circle by 4.

q circle = 1/4 × area of circle

q circle = 1/4 × π × r²

q circle = 1/4 × 3.14 × 10²

q circle = 1/4 × 314

q circle = 78.5 cm²

To find the entire area, add the area above together

area = first semicircle + second semicircle + q circle

area = 39.25 + 39.25 + 78.5

area = 157

The area of shaded region is 157 cm²