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mash [69]
3 years ago
8

Estimate the area of a circle with a radius of 16 meters. Use 22/7 or pi

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
1. Area of a circle is pi(R)^2 , where R is the radius. So we can substitute:

22/7(16^2) = about 805 meters squared.

2. Let's find the area of the rectangle first.

A=LW
A= 18(10)

A= 180 cm squared.


Now the semi-Circle:

The radius of the circle is 9 (because 18/2 is 9). Now we plug in to the area formula:

22/7(9^2) = about 254 cm squared. But because that is the area of the whole circle, and we only need half of the circle, we divide that value by 2 to get:

127 cm squared for the semi-circle.

Now we add up the rectangle and semi-circle's areas:

180 + 127 = 307 cm squared as your answer.


I hope this Helps!
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Options C. and D. are correct.

Step-by-step explanation:

Let (x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)

Equation of a line is given by y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)

y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0

Put  (x,y)=(5,11)

3(5)-2(11)+10=15-22+10=3\neq 0

Put  (x,y)=(5,10)

3(5)-2(10)+10=15-20+10=5\neq 0

Put (x,y)=(6,14)

3(6)-2(14)+10=18-28+10=0

Put (x,y)=(30,50)

3(30)-2(50)+10=90-100+10=0

Put (x,y)=(40,60)

3(40)-2(60)+10=0\\120-120+10=10\neq 0

So, points (6,14),\,(30,50) satisfy the equation 3x-2y+10=0

Therefore,

points (6,14),\,(30,50) lie on the line through (0,5) and (2,8)

Options C. and D. are correct.

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Answer:

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Step-by-step explanation:

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