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lions [1.4K]
3 years ago
10

Scott wants to buy fencing to place around a semicircular rock garden The diameter of the semicircle is 16 feet Using 3.14 for p

i he calculates that he needs to buy abut 25.12 feet of fencing. The fencing is sold by the foot, so he plans to buy 26 feet of fencing. Explain why Scott's reasoning is incorrect and find the correct amount of fencing he should buy
Mathematics
1 answer:
Pavel [41]3 years ago
7 0

The diameter of the semicircle is 16 feet.

He calculates that he needs to buy abut 25.12 feet of fencing.

To find amount of fencing we find the circumference of semicircle

Circumference of semicircle = \frac{1}{2}\pi d+d

Where d is the diameter of the circle

d= 16 given and value of pi is 3.14

Circumference of semicircle = \frac{1}{2}*3.14*16+16

=25.12 + 16 = 41.12 feet

Scott's calculation was wrong because he forgot to add the diameter d

Circumference of circle  is half way of circle plus the diameter of circle.

Correct amount of fencing = 41.12 feet



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<h2><u>CIRCUMFERENCE</u></h2>

<h3>Possible Question:</h3>

» The diameter of a circle is 11 in. What is the circle's circumference?

<h3>Answer:</h3>
  • \blue{\bold{34.54 \: \:in}}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

  • \sf \: given  :  \underline{ \tt \: d = 11 \:  in \: } \\  \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×11 \: in  \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 34.54\:in}}}}

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