While Katarina was practicing her figure skating, she wondered how far she had traveled. She was skating a "figure 8," which means she starts between two circles and then travels on the boundary of each circle, completing the shape of a sideways 8. If both circles have a radius of 5 feet,
how far does she travel when skating one "figure 8"?
Hint:

i believe the answer is c.

you save $70

discount would be 35% off

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²