Question

A triangle is placed in a semicircle with a radius of 5 ft, as shown below.
Find the area of the shaded region. Use the value 3.14 for pi and do not round your answer.

Answer 1

area of triangle\[=\frac{ 1 }{ 2 }\times base \times altitude=?\]
area of semi circle\[=\frac{ \pi \times r^2 }{ 2 }=?\]
then subtract

Answer 2

Do I find the answer for both

Answer 3

Do you know that area of circle is\[Area = πr^2\]
and the area of triangle is \[Area of \triangle = \frac{ 1 }{ 2 } * base * height\]
Then now what you have the two areas with your hands , to get the shaded region you just simply subtract the smaller shape from the larger one , which in this question
Larger : the semicircle and the smaller one is the triangle !
Now to calculate just subs. with given values
\[Area of semicircle = \frac{ 1 }{ 2 } * π * 5^2 = 12.5 \]
And \[Area of \triangle = \frac{ 1 }{ 2 } * 10 * 5 = 25\]

Now the shaded region is :\[Area of shaded region : 12.5π - 25\]

Let me know if you got it :)

Answer 4

I completely understand :) so I subtract 12.5 pi - 25 and the answer is 14.26

Answer 5

@Omar_Elboredy

Answer 6

area of triangle\[=\frac{ 1 }{2 }\times10\times 5=25\]
area of semi circle\[=\frac{ \pi r^2 }{ 2 }=\frac{ 3.14\times25 }{ 2 }=\frac{ 78.50 }{ 2 }=39.25\]
reqd. area=39.25-25=?

Answer 7

Exactly ! :D

Answer 8

I have no idea who is right lol...

Answer 9

both are correct

Answer 10

@surjithayer would the answer be ft, ft^2 or ft^3?

Answer 11

area is always in square units

Answer 12

Thank you the both of ya'll!

Answer 13

if I could give you both metals I would!

Answer 14

Welcomes ! :)

Feel free to ask anytime :D

Answer 15

Will you help me with one more? @Omar_Elboredy