Question

MEDALLLSSS! (geometry)

Answer 1

Select the number from the list below that best describes the area of the center circle on the basketball court.

Answer 2

Area of a circle = pi(radius)^2

The diameter is 144 inches, so the radius is half the diameter, radius = 72 inches.

Now you compute the area.

Answer 3

i got a really big number??

Answer 4

what did you get?

Answer 5

16277.76

Answer 6

would the answer be 1600in^2

Answer 7

I got 16,286.02

Answer 8

Did you use 3.14 for pi?

Answer 9

*16000in^2

Answer 10

yeah i did? i put 3014*8^2

Answer 11

*3.14

Answer 12

ok..I didnt see anywhere in the question that you are to use 3.14 for pi. But your answer is correct.

There are 16,286 square inches in the area of the circle.

Keep in mind, that the circle is a very large circle (6 feet in radius).

Answer 13

my answers are
225
450
900
16000
65000 all in^2
so would it be 16000in^2

Answer 14

Yes, that is the closest.

Answer 15

thanks! can you help me with another one?

Answer 16

yes

Answer 17

Find the area of the shaded region.

Answer 18

The shaded region is really the entire square minus the 4 triangles. Agree?

Answer 19

yeah i didnt look at it that way lol

Answer 20

How did you look at it?

Answer 21

?

Answer 22

just a shaded square

Answer 23

OK..and how long is each side of the shaded square? How would you figure that out? It can be done.

Answer 24

which square ?

Answer 25

The shaded square..how would you figure out the length of each side of the SHADED square?

Answer 26

HINT:

Each side of the shaded square is really the hypotenuse of the right triangle. Agree?

Answer 27

yeah

Answer 28

So you tell me, how long is the hypotenuse in the right triangle?

Answer 29

6 ?

Answer 30

The hypotenuse is the side opposite the 90-degree angle..it is the longest side of the tyriangle. It cant be 6 becuase one leg is already 6.

Don't you use Pythagorean Theorem,

(leg)^2 + (leg)^2 = (hypotenuse)^2

Answer 31

agree?

Answer 32

(6)^2+(3)^2=45 is that right?

Answer 33

yes...now 45 = x^2

so how long is the hyptenuse?

Answer 34

?

Answer 35

how do you find that?

Answer 36

If x^2 = 45, the x = square root of 45

Answer 37

remember that?

Answer 38

i got sqaure root of 45=6.7

Answer 39

Leave it as square root of 45.

So the area of the shaded square is what?

Answer 40

Area of a square is (side)^2.

so the area of the shaded square is what?

Answer 41

?

Answer 42

45

Answer 43

correct.

That is ONE way to do the problem.

Answer 44

awesome thanks ik im slow but your really helping me

Answer 45

Find the value of x and the value of y.

Answer 46

@Easyaspi314

Answer 47

The right side of the diagram...is a right triangle, whose angle measurement is 30-60-90. Agree?

Answer 48

yes,

Answer 49

The leg opposite the 30-degree angle is the height.

Answer 50

You should know that in a 30-60-90 right triangle, the leg opposite the 30-degree angle is 1/2 the hypotenuse.

So how long will the height of the triangle be?

Answer 51

12

Answer 52

correct.

Answer 53

Now, look at the left triangle. Do you agree that it is a 45-45-90 right triangle?

Answer 54

yeh i agreee

Answer 55

IWe want to figure out x.

x is the hypotenuse of that left triangle.

Answer 56

that wouldn't be 24 too would it?

Answer 57

No. Why would you think it is 24?

Answer 58

The big triangle is not an isosceles triangle whose sides are equal in length. One angle is 45 and the other angle is 30...so it cant be isosceles triangle.

Answer 59

oh i used the formula of the other triangle

Answer 60

ok. Now we want x, and x is the hypotenuse of the 45-45-90 right triangle.

Answer 61

right,

Answer 62

there?

Answer 63

yeah sorry the page went down