Approximate Irrationals Worksheets Grade 8

1. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A circle is inscribed inside this triangle, tangent to all three sides. What is the approximate radius of this inscribed circle? Round your answer to the nearest hundredth.
2. Aroha is building a square-shaped mosaic for an art project. The area of the mosaic needs to be 63 square inches. She wants to buy a wooden frame that matches the side length of the mosaic exactly, but the store only sells frames in whole-inch lengths. What is the side length of the mosaic, in inches, rounded to the nearest whole number?
3. Olivia is planting a square-shaped garden in her backyard. She wants the garden to have an area of 91 square feet so she can grow a variety of vegetables. The store sells fencing in whole foot lengths, and she needs to buy enough to go around the entire garden. To the nearest whole foot, what is the perimeter of Olivia's garden?

…and 3 more problems

1. Mason is building a square-shaped garden in his backyard. He wants the garden to have an area of 90 square feet so he can plant a variety of vegetables. To buy the right amount of fencing for the perimeter, he needs to know the side length of the garden. However, the fencing company only sells fence panels in whole foot lengths, so Mason needs to round the side length to the nearest whole number. What is the side length of Mason's garden in feet, rounded to the nearest whole number?
2. A rectangular garden is drawn on a coordinate plane with corners at (0,0), (12,0), (12,5), and (0,5). A diagonal path is drawn from (0,0) to (12,5). What is the approximate length of this diagonal path? Round your answer to the nearest tenth.
3. Aroha is designing a square patio in her backyard. The patio has an area of 110 square feet. She wants to place a string of lights along the diagonal of the square from one corner to the opposite corner. What is the approximate length of the diagonal, rounded to the nearest tenth of a foot?

…and 5 more problems

1. The area of a square garden is 150 square meters. Between which two consecutive whole numbers does the length of one side of the garden lie?
2. Liam is designing a circular garden with a diameter of 12 meters. He needs to calculate the area to determine how much soil to purchase. Using π ≈ 3.14, what is the approximate area of the garden in square meters?
3. √(86) ≈ ? (to the nearest tenth)

…and 3 more problems