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 .)
Question
Answer:
Answer: " 707 mm² " ._______________________________________________________
Note:
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The area, "A" of a circle:
A = [tex] \pi [/tex] * 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 = [tex] \pi [/tex] * 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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