Question

How to get the area of semicircle attached to triangle if your radius is 4 and the hight of triangle is 6?

Answer 1

You know the area of a circle is \[A=\pi \times r^{2}\] and this is half of a circle, so you have \[A=\frac{1}{2}(\pi \times r^{2})\]

Answer 2

A = 1/2(3.14)(4.4)
= 25.12

Answer 3

That's for A of semi circle... In triangle, do I use the 16 for the base of triangle?

Answer 4

How can I get the Area of triangle?

Answer 5

How can I get the base of triangle?

Answer 6

From the radius of semi circle?

Answer 7

Are you looking for the area of the semicircle AND the area of the triangle like this?

Answer 8

Yes

Answer 9

If so, then The area of the half-circle was correctly described by eSpeX:
1/2 pi*r^2

The area of the triangle is 1/2*B*H

H=6
B=2r

Answer 10

I got the area of semi circle I just need to get the area of triangle so I can add A of SC Nd T...

Answer 11

Okay, and...

The area of the triangle is

1/2*B*H

H=6

B=2r

Answer 12

The radius of haft circle is 4

Answer 13

Yes. I think we've got that pretty much nailed down. :-)

Answer 14

So T = 1/2(bh)
= 1/2 (4.4)(6) ? Like that?

Answer 15

Yes. Just like that, as long as by "(4.4)" you men (4 PLUS 4)

Answer 16

I should (4+4) not x?

Answer 17

I mean add it?

Answer 18

Yes.

Because the radius is HALF THE WIDTH of the circle, and the base of the triangle is the ENTIRE WIDTH of the circle.

This means that the base is equal to 2r, and 2r is the same as r plus r.

Answer 19

Ok thanks.... Got it....

Answer 20

So what's your answer? :-)

Answer 21

24

Answer 22

Am I right?

Answer 23

Correct! That's the area of the triangle. Excellent!

And what did you get for the area of the semicircle?

Answer 24

So 25.12 + 24 = 49.12

Answer 25

I got 25.13272, but 25.12 may be due to rounding errors.

I would call it "correct"! :-)

My math is:
r=4
r^2 = 16
pi = 3.14159
p*r^2 = 3.14159*16 = 50.26544
half that (since we're talking SEMIcircle) is 25.13272

Answer 26

Hehe... Super thanks....

Answer 27

PS:

I just redid my math using 3.14 and I got your 25.12

So since most teachers accept 3.14 for the purpose of calculating pi, then you're good to go!!

Glad I could help!! :-)