Question

The length of a radius of a circle, measured in centimeters, is represented by the expression x + 1.5. The diameter of the circle is 9 2/5

cm.
What is the value of x?
Enter your answer as a decimal or mixed number in simplest form in the box.
X =

Answer 1

The value of x of a circle with radius x + 1.5 and diameter of 9 2 / 5 cm is 7.9 cm

Radius of a circle

Radius of a circle is half of the diameter of a circle. The radius extend from the centre of the circle to the circumference.

Mathematically,

radius = 1 / 2 (diameter)

Therefore,

radius = (x + 1.5) cm

diameter = 9 2 / 5 cm = 47 / 5 cm

let's find x with the relationship above.

Therefore,

x + 1.5 = 47 / 5

subtract 1.5 from both sides

x + 1.5 - 1.5 = 9.4 - 1.5

x = 7.9 cm

Explanation: