Digits, Grade 7, Volume 1, Homework Helper

4-6: TEKS Practice

  • 1. The ratio of the area of a circle to the circumference of a circle, eh over c , comma , is 13 over 1 . Find the circumference of the circle. Write your answer in terms of π.

  • 2. Find the area inside the square and outside the circle. Use 3.14 for π. Round to the nearest hundredth as needed.

    A circle touches all four sides of a square with side length 12 meters. The shaded regions are inside the square and outside the circle.

  • 3. A farmer is putting up a fence for her animals. She originally had the fence enclosing a square area. The square was 19 ft by 19 ft. Suppose she uses the same amount of fencing to enclose a circular area. What is the area of the circle? Use 3.14 for π. Round to the nearest whole number as needed.

  • 4.

    • a. Find the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth as needed.

    • b. What would happen to the area if one of the dimensions were changed? Explain your reasoning.

      A rectangle with length 17.3 inches and height 14.4 inches. Semicircles with diameter 14.4 inches are inside the rectangle with their straight edges on its left and right sides. The shaded region is inside the rectangle and outside the semicircles.

  • 5. Reasoning The ratio of the area of a circle to the circumference of a circle, eh over c , is 18 over 1 , .

    • a. Find the circumference of a circle with four times the radius of the given circle. Write your answer in terms of π.

    • b. How do the area and the radius of a circle four times the size differ from the original circle? Explain.

  • 6. A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π. Round to the nearest whole number as needed.

  • 7. The face of a clock is a circle. The ratio of the area, in square centimeters, of the face of the clock to the circumference, in centimeters, of the face of the clock, eh over c , is 26 over 1 . Find the circumference of the face of the clock. Use 3.14 for π. Round to the nearest hundredth as needed.

  • 8.

    • a. Find the perimeter of the figure a student has drawn in art class. Use 3.14 for π. Round to the nearest hundredth as needed.

    • b. Draw another figure that has the same perimeter as the given figure.

      A composite figure: A square with side length 9 feet. Three sides of the square form the straight edges of semicircles.

  • 9. Mental Math You purchased a circular table and you have to figure out whether it will fit through a doorway that is 24 in. wide. If the table will not fit, you can remove the legs from the table and turn it sideways to get it through the door.

    • a. The table is measured in inches. The ratio of the area of the table to the circumference of the table, A/C, is 13 over 1 . Find the diameter of the table.

    • b. Will your table fit through the doorway or do you need to take the legs off and turn it sideways?


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties