Emilie draws a circle with a diameter of 10 inches.Ethan draws a circle with a diameter that is half as long as the diameter of Emilie's circle.How will the circumference of Ethan's circle compare with the circumference of Emilie's circle?Explain.
Accepted Solution
A:
Answer:The circumference of Ethan's circle is half the circumference of Emilie's circleStep-by-step explanation:we know thatEmilie's circle[tex]D=10\ in[/tex]The circumference is equal to[tex]C=\pi D[/tex][tex]C=\pi (10)[/tex][tex]C=10\pi\ in[/tex]Ethan's circle[tex]D=10/2=5\ in[/tex]The circumference is equal to[tex]C=\pi D[/tex][tex]C=\pi (5)[/tex][tex]C=5\pi\ in[/tex]thereforeThe circumference of Ethan's circle is half the circumference of Emilie's circle