Question

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

Answer 1

Answer:

B

Step-by-step 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.

$(6)^{2} +(11)^{2} =x^{2}$

$36+121=x^2\\157=x^2\\\sqrt{157}=x\\ 12.5=x$