Question

A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?

A. 2.5π
B. 3π
C. 5π
D. 4π
E. 10π

Answer 1

Correct Answer: C

Step-by-step explanation:

Draw the diagram. The diagonal of the rectangle is the diameter of the circle. The diagonal is the hypotenuse of a 3,4,5 triangle, and is therefore, 5.
Circumference = π.diameter = 5π

Hope it helped!

~Jiren

Answer 2

Use the Pythagorean theorem to find the radius of the circle

a²+b²=c²
3²+4²=c²
9+16=c²
25=c²
√25=c
5=c

the radius of the circle is 5,

c=πd
c=5π

Answer=5π