Question

What is the value of x to the nearest tenth?

Answer 1

First make a triangle by connecting the center point of the circle to one of the end points of the chord.

This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.

Since one of the legs of the right triangle is half the chord, divide the chord in to two.

9.6 / 2 = 4.8

Now we can calculate for the hypotenuse.

Pythagorean theorem states that  a²+b² = c²

So

√2.4² + 4.8² = c

√5.76 + 23.04 = c

√28.8 = c

5.4 = c

C is the hypotenuse and the hypotenuse is known as the radius of the circle.

So the radius is 5.4