smartread345
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

If the length of the radius of the circle is doubled, how does that affect the circumference and area. Explain please.

Sagot :

naǫ
radius - r
area:
[tex]A_1=\pi r^2[/tex]
circumference:
[tex]C_1=2 \pi r[/tex]

the length of the radius is doubled
radius - 2r
area:
[tex]A_2=\pi \times (2r)^2=\pi \times 4r^2=4 \pi r^2[/tex]
circumference:
[tex]C_2=2 \pi \times 2r=4 \pi r[/tex]

[tex]\frac{A_2}{A_1}=\frac{4 \pi r^2}{\pi r^2}=4 \\ \\ \frac{C_2}{C_1}=\frac{4 \pi r}{2 \pi r}=\frac{4}{2}=2[/tex]

When the length of the radius is doubled, the area is quadrupled and the circumference is doubled.
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.