NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Circles with translations

## Interactive practice questions

A circle centred at ($7$7, $-8$8) has an $x$x-intercept at ($-10$10, $0$0). Find the exact radius of the circle.

Easy
Approx 3 minutes

Consider the circle with equation $\left(x-0.7\right)^2+\left(y+4.4\right)^2=3$(x0.7)2+(y+4.4)2=3.

Consider the circle with equation $\left(x+3.1\right)^2+\left(y-\frac{3}{2}\right)^2=\frac{9}{16}$(x+3.1)2+(y32)2=916.

Consider the circle with equation $\left(x-8\right)^2+\left(y+1\right)^2=13$(x8)2+(y+1)2=13.

### Outcomes

#### M8-1

Apply the geometry of conic sections

#### 91573

Apply the geometry of conic sections in solving problems