**Problem Statement:**What is 75% of the area of a circle with a circumference of 10 units? Round the solution to the nearest square unit.**Answer Choices:**- ☐ 6 units²- ☐ 24 units²- ☐ 98 units²- ☐ 136 units²**Solution Explanation:**First, we need to determine the radius of the circle using the given circumference. The formula for the circumference (C) of a circle is:\[ C = 2\pi r \]Given $ C = 10 $ units,\[ 10 = 2\pi r \]\[ r = \frac{10}{2\pi} \]\[ r \approx \frac{10}{6.2832} \]\[ r \approx 1.59 \] unitsNext, we calculate the area (A) of the circle using the radius.The formula for the area of a circle is:\[ A = \pi r^2 \]\[ A \approx \pi (1.59)^2 \]\[ A \approx 3.1416 \times 2.5281 \]\[ A \approx 7.95 \] square unitsTo find 75% of this area,\[ 75\% \text{ of } 7.95 = 0.75 \times 7.95 \]\[ \approx 5.96 \] square unitsRounded to the nearest square unit, it is:\[ 6 \text{ units}^2 \]Thus, the answer is:- ☑ 6 units²- ☐ 24 units²- ☐ 98 units²- ☐ 136 units²

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Answered: What is 75% of the area of a circle…

What is 75% of the area of a circle with a circumference of 10 units? Round the solution to the nearest square unit. 6 units? 24 units? 98 units? 136 units2 0000

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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