Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What is the radius of a circle whose equation is [tex]\((x-7)^2+(y-10)^2=4\)[/tex]?

A. 2 units
B. 4 units
C. 8 units
D. 16 units

Sagot :

GinnyAnswer
To find the radius of the circle given the equation [tex]\((x-7)^2 + (y-10)^2 = 4\)[/tex], we need to understand the components of the standard form of a circle's equation. The standard form is [tex]\((x-h)^2 + (y-k)^2 = r^2\)[/tex], where [tex]\((h, k)\)[/tex] is the center of the circle and [tex]\(r\)[/tex] is the radius.

Given the equation:

[tex]\[ (x-7)^2 + (y-10)^2 = 4 \][/tex]

we can directly compare this with the standard form. Here, we identify that:
- [tex]\(h = 7\)[/tex]
- [tex]\(k = 10\)[/tex]
- [tex]\(r^2 = 4\)[/tex]

From [tex]\(r^2 = 4\)[/tex], we solve for [tex]\(r\)[/tex] by taking the square root of both sides:

[tex]\[ r = \sqrt{4} \][/tex]

Thus, we get:

[tex]\[ r = 2 \][/tex]

So, the radius of the circle is 2 units.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.