Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
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In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Question
10.
**Problem Statement:** 10. Find the radius of a circle with a circumference of 21.99 feet. **Explanation:** To solve this problem, we need to remember the formula for the circumference of a circle, which is given by: \[ C = 2 \pi r \] Where: - \( C \) is the circumference. - \( \pi \) (Pi) is a constant approximately equal to 3.14159. - \( r \) is the radius of the circle. Given: - The circumference \( C \) is 21.99 feet. To find the radius \( r \), we can rearrange the formula to solve for \( r \): \[ r = \frac{C}{2 \pi} \] Now, substitute the given circumference into the formula: \[ r = \frac{21.99}{2 \pi} \] Perform the calculation (using \( \pi \approx 3.14159 \)): \[ r = \frac{21.99}{2 \times 3.14159} \] \[ r = \frac{21.99}{6.28318} \] \[ r \approx 3.50 \] So, the radius of the circle is approximately 3.5 feet.
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Transcribed Image Text:**Problem Statement:** 10. Find the radius of a circle with a circumference of 21.99 feet. **Explanation:** To solve this problem, we need to remember the formula for the circumference of a circle, which is given by: \[ C = 2 \pi r \] Where: - \( C \) is the circumference. - \( \pi \) (Pi) is a constant approximately equal to 3.14159. - \( r \) is the radius of the circle. Given: - The circumference \( C \) is 21.99 feet. To find the radius \( r \), we can rearrange the formula to solve for \( r \): \[ r = \frac{C}{2 \pi} \] Now, substitute the given circumference into the formula: \[ r = \frac{21.99}{2 \pi} \] Perform the calculation (using \( \pi \approx 3.14159 \)): \[ r = \frac{21.99}{2 \times 3.14159} \] \[ r = \frac{21.99}{6.28318} \] \[ r \approx 3.50 \] So, the radius of the circle is approximately 3.5 feet.
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