A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?

1 answer:

3 0

Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
20 - 24i - (-6 + 2i) = 26 - 26i. so this is not on the circle.

You might be interested in

the volume of a sphere whose diameter is 18 centimeters is ? cubic centimeters. If its diameter were reduced by half its volume

Ghella [55]

A) The formula for the volume of a sphere in terms of its radius (half the diameter) is
$V= \frac{4}{3}\pi r^{3}$
For your 18 cm sphere, the volume is
$V= \frac{4}{3}\pi(9 cm)^{3} = 972\pi \cdot cm^{3} \approx 3054 cm^{3}$

B) If the diameter were reduced by half, the volume would be $(\frac{1}{2})^{3}=\frac{1}{8}$ of the original volume.