smartread345
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.