Question

The figure below shows a circular prop with two triangles labeled ABC and AOC made on it. The center of the prop is labeled O.

A circle is drawn with an inscribed triangle ABC. Angle ABC measures 45 degrees. O is the center of the circle. Triangle AOC has AC equal to 2 feet.

What is the area of the cloth required to make the circular prop?

12.56 ft2

3.14 ft2

6.28 ft2

10.32 ft2

Answer 1

@CliffSedge help i posted a new question

Answer 2

@CliffSedge

Answer 3

So, it's asking for the area of the circle?

Answer 4

@CliffSedge after u help me answer this one could we just post the next one on here plzzz cuz i have 57 more togo and i only have an houre to do them and posting them in new threads wastes my time

Answer 5

i guess soo

Answer 6

First of all, I am not going to help you with all 57. You really should be able to do most of them on your own.

Anyway, to get the area of the circle, you can use the formula, A=πr^2, which means you need to find the length of the radius.

Answer 7

its a pre test im in a normal class and they said anyone who could do this ap work would get extra credit and wouldent have homework that week except this and they said we can use what ever we need to

Answer 8

OA and OC are both radii, so if you can find the length of them, you're in business.
Here's how I would go about it:
ABC and AOC are angles that cut the same arc, that means - by inscribed angle / central angle theorem - that AOC is twice the size as ABC.
What does that imply?

Answer 9

wouldent that mean that aoc is 90

Answer 10

Correct. So you see that triangle AOC is a right triangle, and AC is the hypotenuse.

Answer 11

yes soooo

Answer 12

What can you use to find the lengths of the sides of a right triangle?

Answer 13

a^2 +b^2=c^2

Answer 14

am i right

Answer 15

yep, Pythagorean Theorem to the rescue!

Answer 16

but how do i find out what a and b r all i know is 2 ft

Answer 17

As a general tip: any time you find a right angle, you should immediately write down the P.T. - it'll likely be useful.

The two missing sides are radii of the same circle; it is an axiom that all radii of the same circle are congruent, so that is an isosceles right triangle.

In other words, a=b.

Answer 18

so 4+4=c^2 so c = 2.82

Answer 19

Mmm, not quite. If c, the hypotenuse, = 2 feet, then you need
r^2 + r^2 = 2^2

Answer 20

thats comfusing so c=4 andi got to find out what a and b are

Answer 21

No, c^2 = 4, and yes, a=b=r.

Answer 22

so is C^2 = 4 the what am i gonna do

Answer 23

Solve for r, using P.T.
Or better yet, since you actually want r^2 to use in the area formula, just solve for r^2.

Answer 24

Once you have r^2, multiply that by π, and you're all set. Looking at the answer choices, you don't need a value for π more accurate than 3.141

Answer 25

SO THE AREA FORMULIA OF A TRIANGLE IS A=1/2BH

Answer 26

.......

Answer 27

....... is it

Answer 28

Yes, . . . that is the area formula for a triangle, but I thought you were looking for the area of the circle.

Answer 29

i am

Answer 30

new question

The figure below shows CB = 4, BE = 5, AB = 4x – 4, and DB = x + 3.

Triangle ABC is a right triangle with measure of angle ACB equal to 90 degrees. The measure of side CB is 4 and AB is 4 multiplied by x minus 4. D is a point on the left of C on BC extended. A point E is labeled on AB such that DE is perpendicular to AB. Measure of EB is 5 and DB is x plus 3.

If ?ABC ~ ?DBE, the value of x is _________

Answer 31

could u helpme with this plzz

Answer 32

Let me draw it out first...

Answer 33

ok

Answer 34

nvm ill post a pic

Answer 35

Ok, yeah, that was what I was imagining here. Alright, solving for x . . .
You have similar triangles there, so AB : BD :: DE : AC :: BE : BC (corresponding sides are in equal proportion).

Answer 36

AC : DE doesn't provide any info, so I'll throw those out, and you'll have the proportion,
\[\large \frac{AB}{BD}=\frac{BC}{BE}\]

Oops, I think I wrote the previous proportion wrong; should be AB : BD :: BC : BE, so it matches the above.

Now plug in your given information and solve.

Answer 37

is the answer 2

Answer 38

.....

Answer 39

Yep, that's what I got too.

Answer 40

:P

Answer 41

A city park has an architectural pillar in the shape of a triangular pyramid. The shape of the base of the pillar is an equilateral triangle. The dimensions of the shape of the pillar are as shown below.

A triangular pyramid is shown. The shape of the base of the pyramid is an equilateral triangle having sides of length 2 feet. The lateral height is labeled as 14 ft.

The park plans to repaint the lateral area of the pillar. The area of the pillar that will be repainted is _______________ ft2.

Answer 42

ummm i got 42 ami right

Answer 43

I don't know. I already helped you with two questions, I think that is worth at least one medal.
What do you think?

Answer 44

i will if i get them right :P

Answer 45

Bye then.

Answer 46

dont goill give u a medal

Answer 47

You really should close this and post a new question thread.