Question

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_composite_figure_8.gif


257.43 mm2
185.43 mm2
370.87 mm2
298.87 mm2

Answer 1

Area of a triangle = (1/2)bh

Looking at the triangle you have, b = 12 and h = 12. Plug in and evaluate the area.

Area of a semicircle = (1/2)pi * r^2

You’re given r = 8.5 mm
Plug in and evaluate the area

Add the areas

Answer 2

ummmmm

Answer 3

can u do it in a more slower and better way i dont understand

Answer 4

Start with the triangle

Look at the diagram, notice how the base and height are both 12 each

Plug b = 12 and h = 12 into the formula (1/2)bh

Answer 5

so what do we do with the 12s

Answer 6

and i dont understand the formula

Answer 7

(1/2)bh

Replace “b” and “h” with 12 each

(1/2)(12)(12) = ?

Answer 8

so do we times it divide it

Answer 9

or what

Answer 10

Multiply

Answer 11

and we would get 172.8 right

Answer 12

(1/2) * 12 * 12 = ?

Answer 13

i thought i got it right isnt it 172.8

Answer 14

(1/2) * 12 = 6

6 * 12 = 72

So (1/2) * 12 * 12 = 72

Answer 15

oh

Answer 16

so now what

Answer 17

Now moving on to the circle

Area of semicircle = (1/2)(pi) * r^2

Replace r with 8.5 since that’s your radius, then calculate the area of the semicircle

Answer 18

so we times it with 72

Answer 19

No just put aside the 72 for now and just calculate (1/2)(pi)(r^2) for r = 8.5

pi is approximately 3.14 as a reminder

Answer 20

i dont understand the formula

Answer 21

You know how (1/2)(12)(12) just means multiply 1/2, 12, and 12?

Well (1/2)(pi)(r^2) just means multiply (1/2) pi and r^2 together

Answer 22

what with the r

Answer 23

r is the radius which is 8.5

r^2 is an exponent which just means r*r

Answer 24

huh u are making it confusing

Answer 25

r^2 means r * r

r is 8.5

So r*r = 8.5*8.5 = ?

Answer 26

You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2. A = pi x r^2 3.14 x 8.5^2 A = 226.865 square mm 226.865/2 113.43 The approximate area of the semi circle is 113.43 mm².

Answer 27

so the next one is with the same shape ok

Answer 28

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?



257.43 mm2
185.43 mm2
370.87 mm2
298.87 mm2

Answer 29

By 113.43 i mean 185.44

Answer 30

@narutouzumaki2 Do you understand how they got the area of the semicircle?

Answer 31

now we are using new shape

Answer 32

What is the area of each semicircle of the following composite figure?

https://hcbe.owschools.com/media/g_mat07_ccss_2016/9/img_composite_figure_5.gif

50.24 ft2
25.12 ft2
12.56 ft2
6.28 ft2

Answer 33

Please repost this in a different question post, Thank you

Answer 34

ok