Click the mouse button or press the Space Bar to display the answers. Objective Find the areas of circles Vocabulary Circumference The distance around a circle Symbols Pi Approximately 3.14 You are to use the key on the calculator Example 1 Find Areas of Circles Example 2 Find Area of Circles Example 3 Use Area to Solve a Problem Find the area of the circle to the nearest hundredth A = (5 yd)2 Draw the circle and label the radius Write formula for area of circle Replace r with 5 yd 1/3 Find the area of the circle to the nearest hundredth A = (5 yd)2 A = 25 yd2 Answer: A = 78.54 yd2 Follow Order of Operations P E MD AS Must do exponents before multiplying Find square of 5 yd Multiply by 1/3 Find the area of the circle to the nearest hundredth Answer: 50.27 cm2 1/3 Find the area of the circle to the nearest hundredth Draw the circle and label the diameter Remember: Diameter goes all the way across the circle and twice the radius Write formula for area of circle 2/3 Find the area of the circle to the nearest hundredth A = (5.4 in)2 Since diameter is given must divide the diameter by 2 to find radius 10.8 2 = 5.4 Replace r with 5.4 in 2/3 Find the area of the circle to the nearest hundredth A = (5.4 in)2 A = 29.18 in2 Answer: A = 91.61 in2 Follow Order of Operations P E MD AS Must do exponents before multiplying Find square of 5.4 in Multiply by 2/3 Find the area of the circle to the nearest hundredth Answer: 124.69 m2 2/3 CRATERS The Chicxulub Crater in the Yucatan Peninsula, Mexico, was caused by a crashing asteroid or comet about 65 million years ago. If the diameter measures 300 kilometers, what is the area covered by the crater? Draw the circle and label the diameter 300 km Remember: Diameter goes all the way across the circle and twice the radius Write formula for area of circle 3/3 300 km A = (150 km)2 Since diameter is given must divide the diameter by 2 to find radius 300 2 = 150 Replace r with 150 km 3/3 300 km A = (150 km)2 A = 22,500 km2 Follow Order of Operations P E MD AS Must do exponents before multiplying Answer: A = 70,685.83 km2 Find square of 150 km Multiply by 3/3 SWIMMING POOL A new children’s circular swimming pool being built at a local recreation center has a diameter of 24 feet. How much area does the new pool cover? Answer: 452.39 ft2 3/3 Assignment Lesson 14:3 Area of Circles 4 - 16 All