From the given figure, find the circumference of the circle, where AC is a diameter of the circle. (Use \(\pi=3.14\))
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 78.5 cm
The angle in a semicircle is a right angle: since AC is a diameter, \(\angle ABC=90^\circ\), and AC is the hypotenuse of the right triangle ABC.
\(AC^2=AB^2+BC^2=7^2+24^2=49+576=625\)
\(AC=25\) cm, the diameter
Circumference \(=\pi d=3.14\times25=\) 78.5 cm