24% as a mixed.number or a fraction

radius = 40

Step-by-step explanation:

From the diagram the radius PQ = x

Since PR is a tangent to the circle then the angle between the tangent and the radius at the point of contact is 90°

Thus Δ PQR is a right triangle

Using Pythagoras' theorem in the right triangle

(x + 18)² = x² + 42² ← expand factor on left side using FOIL

x² + 36x + 324 = x² + 1764 ( subtract x² from both sides )

36x + 324 = 1764 ( subtract 324 from both sides )

36x = 1440 ( divide both sides by 36 )

x = 40

The radius of the circle is 40