Answered

IDNLearn.com: Your go-to resource for finding precise and accurate answers. Ask anything and receive prompt, well-informed answers from our community of experienced experts.

The equation of a circle is x^2 + y^2 =16 if the circle is translated 2 units up, what is the equation of the new circle?

Sagot :

ShubhamchouhanvrVTidn

The equation of the circle with the new point will be x² + ( y - 2 )² = 16.

What is a circle?

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

Given that:-

  • The circle is translated as 2 units up.

The equation of the circle will be formed as:-

We know that the general form of the circle is given as

( x - h )² + ( y - k )² = r²,

where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-

x² + ( y - 2 )² = 16

Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.

Learn more about Circle here:

brainly.com/question/12908707

#SPJ1

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. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.