Circle: What is a radius? (plural = radii) A line segment with one endpoint at the center of the circle and the other endpoint on the circle What is a chord? A line segment with both endpoints on a circle What is a diameter? A chord that passes through the center of the circle – reaching from one side of the circle to the other (d=2r) What is circumference? The circumference is the distance around the circle. (Relate it to the perimeter of a polygon.) What is pi? How do I find the circumference of a circle? Find the circumference of the following circle: 8ft The ratio of the circumference to the diameter, c/d, is the same for ANY circle – and is represented by the Greek letter read “pi”. Pi starts with 3.14159265… and goes on forever without repeating. It is called We use 3.14 or 22/7 to represent this value. Circumference = d or 2r = 3.14 or 22/7 d= diameter r= radius Find the circumference of the following circle: 3 cm Circumference = 37.68 inches Find the diameter and radius How do I find the area of a circle? The formula for area is A = x r2 You can use 3.14 or 22/7 for pi. Example 1 Find the area of the circle. Use 22/7 for pi. D= 14 in. A = ?? 1. 2. 14 in. A = x r2 r = d/2 r = 14/2=7 A = 22/7 x 72 A = 22/7 x 49 A = 154 in. 2 Example 2 3. 4. 5. write the formula to find area. the length of the diameter is 2 times the radius, so divide the diameter by 2. replace pi with 22/7 and r with 7. Simplify, then multiply Area is measured in square units. Find the area of the circle. Use 3.14 for pi. A = x r2 A = 3.14 x 32 A = 3.14 x 9= 28.26 cm2 3cm Practice #1 Find the area of the circle. R = 21 A = ??? (1,386 cm2) Practice #2 Find the area of the circle. Use 3.14 for pi. D = 10m A = ??? (78.50m2) Circle: What is a radius? (plural = radii) A line _______________________ with one _________________ at the _____________ of the _________________ and the other ___________________ on the circle What is a chord? A line _________________t with ______________ endpoints on a ___________. What is a diameter? A ____________________ that passes through the ______________ of the circle – reaching from one ______________ of the circle to the other (d=______) What is circumference? The circumference is the distance _______________the circle. (Relate it to the perimeter of a polygon.) What is pi? How do I find the circumference of a circle? The _____________________ of the circumference to the diameter, c/d, is the same for _______________ circle – and is represented by the Greek letter - read “pi”. Pi starts with 3.14159265… and goes on forever without ___________________. We use ________________ or _______________ to represent this value. Circumference = ________ or _________ = ___________ or ___________ d= _____________________ r=____________________ Find the circumference of the following circle: 8ft Find the circumference of the following circle: 3 cm Circumference = 37.68 inches Find the diameter and radius How do I find the area of a circle? The formula for area is A = x r2 You can use 3.14 or 22/7 for pi. Example 1 Find the area of the circle. D= 14 in. A = ?? Example 2 Find the area of the circle. Use 3.14 for pi. 3 cm Practice #1 Find the area of the circle. R = 21 A = Practice #2 Find the area of the circle. Use 3.14 for pi. D = 10m A = ???