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This comprehensive guide covers the essential concepts of circumference and area for circles, utilizing the engaging theme "Sir Cumference and the Dragon of Pi." Learn the definitions of key terms like center, radius, and diameter, and discover formulas such as C=2r and A=πr². Through practical examples, you will find the circumference and area for various circles with given measurements. Emphasis is placed on showing all work while calculating to ensure mastery of the topic. Ideal for pre-algebra students eager to grasp geometry fundamentals!
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Warm-Up • Multiply. • 1. 89 x 97 • 2. 234 x 76 • 3. 837 x 34 • 4. 38 x 28
10.7 Circumference and Area: CIRCLES Pre-Algebra
Parts of a circle! • Circumference • The distance AROUND the circle • Center • The given point in the very middle • Radius • The distance from the CENTER to ANY point on the circle • Diameter • The distance across the circle THROUGH its center
Circumference • Formulas • C=2 r • C = d • C is Circumference • is 3.14 • r is radius • d is diameter
Area • A = r2 • A is the Area • Pi is 3.14 • R is the radius squared
SHOW ALL OF YOUR WORK EVERY TIME!!!!! • FORMULA • WORK • ANSWER • UNITS
Examples • 1. Find the circumference and area of the circle if: • r = 2 cm
Examples • 2. Find the circumference and area of the circle if: • d = 6 in
Find the circumference and area to the nearest tenth. • 3. 12 in.
Find the circumference and area to the nearest tenth. • 4. 7.1 m
Find the circumference and area to the nearest tenth. • 5. 11 ft
Find the circumference and area to the nearest tenth. • 6. 8.3 cm
10.7 Study Guide and Intervention Write ALL formulas EVERY time and SHOW all work!