A circle with centre $$$(5,2)$$$ passes through the point $$$(7,5)$$$. Find an equation of the circle. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w21_qp_11 Year：2021 Question No：7(a)

Answer:

$
r^{2}\left[=(5-2)^{2}+(7-5)^{2}\right]=13
$
Equation of circle is $(x-5)^{2}+(y-2)^{2}=13$

1.3.3 understand that the equation represents the circle with centre and radius (Including use of the expanded form.)