4. a) Find the perimeter of a circle with radius 3.5 cm . b) Find the area of a circle with radius 14 cm . c) Find the perimeter and area of a circle with diameter 14 m .
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To find the perimeter, also known as the circumference, of a circle, you can use the formula C = 2πr. For a circle with a radius of 3.5 cm, the circumference is approximately 2 * π * 3.5 ≈ 21.99 cm. For the area of a circle, the formula is A = πr². With a radius of 14 cm, the area is approximately π * (14)² ≈ 615.75 cm². For a circle with a diameter of 14 m, the radius is 7 m. Thus, the perimeter is about 2 * π * 7 ≈ 43.98 m, and the area is approximately π * (7)² ≈ 153.94 m². Isn't it fascinating how a simple formula can help us unravel the mysteries of circles? It's like magic in mathematics! Just imagine the vast ranges of circles in art, nature, and architecture that rely on these calculations! And to keep things fun while you practice, remember to double-check your entries and calculations! One common mistake is forgetting whether you're working with radius or diameter, so always keep π (pi) close to your heart—it's your golden ticket to circle success!
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