A printer designs a tag in the shape of a circle with a smaller circle cut out. She cuts her prototype from a 5 in. by a 7 in. i

Question

1 year ago

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A printer designs a tag in the shape of a circle with a smaller circle cut out. She cuts her prototype from a 5 in. by a 7 in. i

ndex card. The cut edges of the tag will be printed with gold leaf. What is the approximate amount of gold leaf on a tag?
The circumference of the larger circle is about ____ inches. The circumference of the smaller circle is about ____ inches. So, the total length of gold leaf on a tag is approximately
____ inches.

Mathematics

1 answer:

Nonamiya [84] · Answer 1 · 2023-07-19T18:59:05+03:00

The circumference of the larger circle is about 12.57 inches. The circumference of the smaller circle is about 3.14 inches. So, the total length of gold leaf on a tag is approximately 15.71 inches.

<h3>How to illustrate the circle?</h3>

The circumference will be:

= 2πr

= 2 × 3.14 × 2

= 12.57 inches.

The circumference of the smaller circle will be:

= 2πr

= 2 × 3.14 × 0.5

= 3.14

The total length will be:

= 12.57 + 3.14

= 15.71 inches.