Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

If ZY = 15 and WX = 10, what is the length of the radius of circle V?

If ZY 15 And WX 10 What Is The Length Of The Radius Of Circle V class=

Sagot :

The information of ZY = 15 also gives the value of YX. ZY is the radius of the greater circle inside the big circle. So we have that:

[tex]\text{ZY = YX = 15}[/tex]

The radius of the circle that has the center on X (the big one) is the sum of ZY and YX. This value is also equal to UX! Therefore:

[tex]UX\text{ = ZY + YX = 15+15=30}[/tex]

If UX is 30 and the question says that WX is 10, we can find the following equation:

[tex]UW\text{ + WX = UX}[/tex]

Obs: UV = VW (radius of the circle). Then we can find UW using the equation above (UW is the diameter of the circle with center V).

[tex]30\text{ = UW + 15}[/tex][tex]UW\text{ = 30-15 = 15}[/tex]

The diameter of a circle is two times the radius. Thus:

[tex]UW\text{ = 2}\times Radius[/tex]

Then the radius of the circle V will be:

[tex]\text{Radius = }\frac{UW}{2}=\frac{15}{2}=7.5[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.