Circumference of a Circle Theorem: The circumference of a circle is 2r, where r is the...

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Circumference of a Circle Theorem: The circumference of a circle is 2лr, where r is the radius of the circle. (Circumference is another word for perimeter, and usually used for circular objects.) Explain where this formula comes from. 8. Take the circle sectors marked T and place them together so that they touch along the arcs and the pointed edges are in a straight line. Then take the sectors marked B and wedge them into the other sectors. Look at the shapes you formed from the circles you cut out. What do those shapes look like? How could you estimate the area of these shapes? Express the area in terms of measurements of the circle. What does this suggest for the formula for th area of a circle? 9. A running track is in the shape of an oval. There is a 100 m straightaway or two sides with semi-circles at each end that have a diameter of 50 m. a. Find the distance around the track. b. Find the area enclosed by the track. Circumference of a Circle Theorem: The circumference of a circle is 2лr, where r is the radius of the circle. (Circumference is another word for perimeter, and usually used for circular objects.) Explain where this formula comes from. 8. Take the circle sectors marked T and place them together so that they touch along the arcs and the pointed edges are in a straight line. Then take the sectors marked B and wedge them into the other sectors. Look at the shapes you formed from the circles you cut out. What do those shapes look like? How could you estimate the area of these shapes? Express the area in terms of measurements of the circle. What does this suggest for the formula for th area of a circle? 9. A running track is in the shape of an oval. There is a 100 m straightaway or two sides with semi-circles at each end that have a diameter of 50 m. a. Find the distance around the track. b. Find the area enclosed by the track.

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7 The formula for the circumference of a circle C2r comes from the definition of a circle as the set of all points that are equidistant from a given c... View the full answer