Question

Find the value of y, rounded to the nearest tenth.

A. 2.4
B. 3.2
C. 3.7
D. 3.9

Answer 1

The answer is (D) 3.9

.....................................

Answer 2

Option D is correct.

y ≈3.9 units

Explanation:

Intersecting chord theorem states that if two chords intersects inside a circle

then; the product of the length of segments in one chords equal to the product of the segments of the other chord.

In a given circle:

Labelled the chords as A, B , C and D and intersecting point O.

OA= 9 units , OB = y units , OC= 5 units and OD = 7 units

Then, by intersecting chord theorem:

`OA * OB = OC * OD`

Substitute the given values to solve for y;

`9 * y = 5 * 7`

Simplify:

`9y = 35`

Divide both sides by 9 we get;

`y = (35)/(9) = 3.88888889`

Therefore, the value of y rounded to the nearest tenth is, 3.9