Question

Find the value of x to the nearest tenth.
a. 11.3
b. 12.5
c. 12.9
d. 13.1

Answer 1

B

Explanation:

We have perpendicular bisector through a chord of the circle. We know the length, so either side of the chord is 11 due to the bisector cutting it directly in half. Since the radius is a fixed distance from the center to any point on the edge of the circle, we can draw the radius x from the circle to the end of the chord to form a right triangle.

We can use Pythagorean Theorem
`a^(2) +b^(2) =c^(2)` to find the missing side length x. a=6, b=11 and c=x.

`(6)^(2) +(11)^(2) =x^(2)`

`36+121=x^2\\157=x^2\\√(157)=x\\ 12.5=x`