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Bob the gardener faces the challenge of edging his circular garden, which has a radius of 2.8 meters. To complete the project, he needs to calculate the number of bricks, each 10 cm wide, required for the perimeter. Using the circumference formula, Bob determines he needs approximately 175.9 bricks. Additionally, he employs the corner square method to calculate the amount of astro turf needed, resulting in 24.63 square meters. With these calculations, Bob is ready to enhance his garden with bricks and astro turf.
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Bob’s Prob • Bob the gardener had a circular garden and all he knew was that it had a radius of 2.8m. • Bob had to line the edge garden with bricks that were 10cm wide and fill in the garden with astro turf.
Lots And Lots Of Bricks • First Bob had to find out what the circumference of the garden is.
Lots And Lots Of Bricks • But all bob knows is that the radius of the garden is 2.8 meters. 2.8 m
Lots And Lots Of Bricks • Bob being smart one, uses the formula Pi (r) 280cm x 2 x
Lots And Lots Of Bricks • So Bob puts that formula into his calculator Pi 280 x 2 x 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Lots And Lots Of Bricks • Which equals 1759 1759 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Lots And Lots Of Bricks • Then he divides it by 10cm because that is how wide the bricks are. /10 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Lots And Lots Of Bricks • Which equals 175.9, and that is how many bricks Bob estimates he will need to edge the garden. 175.9 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Astro turf • Bob needs to find out how much astro turf he needs. He uses a method called the corner square method.
Astro turf Bob finds the area by times the radius by the radius to create a square. 2.8m 2.8m
Astro turf Then you times it by pi (3.14) 2.8m 2.8m
Astro turf So Bob put in to his calculator, 2.8 x 2.8 x Pi 2.8 x 2.8 x pi 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Astro turf Which ends up equaling to 24.63 m2 which is how much astro turf Bob needs. 24.63 1 2 3 4 5 6 7 + 8 9 0 x / % ) - . ( = Pi abc
Bob’s Prob is Fixed • So now Bob knows how much bricks and turf he needs to complete the garden. • 175 Brick and 24.63 m2 of turf