Question

Help!!

Five radii of a circle are equally spaced. The measure of an arc intercepted by one of the central angles formed by adjacent radii is:
Select one:
a. 36°
b. 72°
c. 144°
d. 180°

Circle C of radius 3 shares one point in common with Circle X of radius 2, and Circle X is not inside Circle C. A tangent segment XY is drawn from X to Circle X. What is the length of the portion of XY which lies outside Circle X?
Select one:
a. 1
b. 2
c. 2.58
d. 3

Answer 1

I say C @Michele_Laino

Answer 2

ANd the 2nd one D

Answer 3

On the 2nd one i did pythagorean theorem and i got 3.61 but i just left it at 3?

Answer 4

first question:
here you have to solve this equation:
\(x \cdot 5=360\)
what is \(x\)?

Answer 5

7

Answer 6

we have: \(360/5=72\) am I right?

Answer 7

right

Answer 8

ok! so, what is the right option?

Answer 9

B

Answer 10

correct!

Answer 11

For the 2nd one was Pythagorean Theorem the right thing to do?

Answer 12

I'm thinking...

Answer 13

okay

Answer 14

please can you do a drawing about the circles?

Answer 15

okay hold on

Answer 16

your problem says that circle X is not inside circle C

Answer 17

this part i meant?

Answer 18

I don't think

Answer 19

Do you think Pythagorean Theorem would work ?

Answer 20

Use the Pythagorean theorem to find XY?

Answer 21

we need the right drawing

Answer 22

well it says that circle x isnt in circle c so are they next to each other?

Answer 23

http://assets.openstudy.com/updates/attachments/544aa1f8e4b0efde2c401825-marshallinwashington-1414181331679-openstudy1024b14.png

Answer 24

yes! I think so, we have the subsequent cases:

Answer 25

Oh okay i see it now

Answer 26

ok!
first step:
the length of \(XY\) is:
\[XY = \sqrt {{5^2} - {3^2}} = \sqrt {25 - 9} = ...?\]

Answer 27

-4?

Answer 28

we have: \(25-9=16\) so: \(\sqrt16=4\)