JanetZappullaidn
Answered

Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

The point (3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundredth?

Sagot :

Konrad509idn
The center is at the origin and the point [tex](3,0)[/tex] lies on the circle, so [tex]r=3[/tex]

[tex]A=\pi r^2\\ A=\pi \cdot3^2\\ A=9\pi\\ A\approx28.27[/tex]
Calculistaidn

we know that

the equation of a circle with the center at the origin is equal to

[tex] x^{2} +y^{2} =r^{2} [/tex]


step 1

with the point (3,0) find the value of the radius

substitute the values of

[tex] x=3\\ y=0 [/tex]

in the equation of the circle above

so

[tex] 3^{2} +0^{2} =r^{2} [/tex]

[tex] 3^{2} =r^{2} [/tex]

[tex] r =3 [/tex]


step 2

with the radius find the area of the circle

area of the circle is equal to

[tex] A=\pi *r^{2} [/tex]

for [tex] r=3 [/tex]

[tex] A=\pi *3^{2} [/tex]

[tex] A=28.27 [/tex]units²

therefore


the answer is

the area of the circle to the nearest hundredth is [tex] A=28.27 [/tex]units²

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.