Andelko measured the largest chord on his slice of pizza, and found it was 20 cm long. From the midpoint of the chord to the outside of the pizza, the shortest distance was 2 cm. What was the diameter of the pizza?
2 answers
52
I hope you made a diagram
Let the radius be x
then the distance from the centre of the chord to the centre of the circle is x-2 and we have a right-angled triangle
x^2 = (x-2)^2 + 10^
x^2 = x^2 - 4x + 4 + 100
4x = 104
x = 26
so the diameter is 52 cm
Let the radius be x
then the distance from the centre of the chord to the centre of the circle is x-2 and we have a right-angled triangle
x^2 = (x-2)^2 + 10^
x^2 = x^2 - 4x + 4 + 100
4x = 104
x = 26
so the diameter is 52 cm
1 answer