Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

15. What is the area of a circle with a center point of(5,2) and an edge point of (5,7)?

15 What Is The Area Of A Circle With A Center Point Of52 And An Edge Point Of 57 class=

Sagot :

The area, A, of a circle with radius, r, is given by

[tex]A=\pi r^2[/tex]

In this case, the radius, r, is the distance between the points (5, 2) and (5, 7).

[tex]\begin{gathered} \text{ Given two points }(x_1,y_1)\text{ and }(x_2,y_2)\text{ on the Cartesian plane, then} \\ \text{the distance betw}een\text{ the points is} \end{gathered}[/tex][tex]\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore,

[tex]r=\sqrt[]{(5-5)^2+(7-2)^2}=\sqrt[]{0^2+5^2}=\sqrt[]{5^2}=5[/tex]

Thus,

[tex]A=\pi(5)^2=25\pi\text{ square units}[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.