Question

A state map has a circle-shaped compass. If the radius of the compass is 15 millimeters, what is the approximate area of the compass? (Use 3.14 for .)

Answer 1

Answer: " 707 mm² " .
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Note:
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The area, "A" of a circle:

A =
`\pi` * r² ;

in which: "A = area of the circle" ;
π = 3.14 (approximation we are given in problem; and commonly used);
r = radius = 15 mm (given) ;
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Solve for "A" (the area of the circle) :
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A =
`\pi` * r² ;

→ A = (3.14) * (15 mm)² ;

→ A = (3.14) * (15)² * (mm²)

→ A = (3.14) * (15)² * (mm²) ;

→ A = (3.14) * 225 * (mm²) ;

→ A = 706.5* (mm²) ;

→ A = 706.5 mm²) ; → round to: " 707 mm² " .
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