Question

Find the area of the figure shown in the diagram to the nearest hundredth.

A)157.08 ft2
B)257.08 ft2
C)414.16 ft2
D)728.32 ft2

Answer 1

diagram please?

Answer 2

Hi kkaila1 :).

where is diagram madam?

Answer 3

OK so first we have to find area of square then area of semicircles.

Answer 4

thats what i was having trouble with how would i do that?

Answer 5

Ok, area of square is A=l*b
But here length and breadth both are equal i.e. 10ft^2

Answer 6

so square area = 100ft^2

Answer 7

ok ot that part.

Answer 8

now find the area of semi circles. do you know the formula for semicircle's area?

Answer 9

no i do not

Answer 10

d

Answer 11

formula for full semicircle is\[\large A= pi r^2\]so for half circle or you can say for semicircle it must be half i.e. divided by 2\[\large A=\frac{pi r^2}{2}\]Is it clear to you?

Answer 12

yes

Answer 13

now . as you can see you have 4 semicircles. can you see them?

Answer 14

so should my answer be 157

Answer 15

thanks! i got it right.

Answer 16

Yes. for one half circles. but there are four semicircles. so multiply 157 by 4
then
Area of semicircles = 4*157 = 628ft^2

Answer 17

Now add the area of square and area of semicirlces for total area.

Area= area of square + area of semicircles
Area= 100ft^2 + 628ft^2
Area= 728ft^2

So it is D