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wariber [46]
2 years ago
9

What is the area of a circle with a radius of 6 ft? Use 3.14 for π. Round to the nearest tenth if necessary.

Mathematics
2 answers:
Ne4ueva [31]2 years ago
4 0

Step-by-step explanation:

write what you know

A = pi x r^2

r = 6ft

Annd plug and chug

Kamila [148]2 years ago
3 0

Answer:

\boxed {\boxed {\sf a \approx 113.0 \ ft^2}}

Step-by-step explanation:

The area of a circle is the space inside the shape. The formula is:

a= \pi r^2

We know the radius of the circle is 6 feet and we are using 3.14 for pi.

  • r= 6 ft
  • π= 3.14

Substitute the values into the formula.

a= (3.14) \times (6 \ ft)^2

Solve the exponent.

  • (6 ft)² = 6 ft * 6 ft = 36 ft²

a= (3.14) \times 36 \ ft^2

Multiply.

a=113.04 \ ft^2

Let's round to the nearest tenth. The 4 in the hundredth place tells us to leave the 0 in the tenths place.

a \approx 113.0 \ ft^2

The area of the circle is approximately <u>113.0 square feet.</u>

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The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.
scoundrel [369]
Using the formulas here: http://www.1728.org/diamform.htm

A)  Volume   =   <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =  <span> <span> <span> 500.0011692175 </span> </span> </span>
radius = <span> <span> <span> 22.3607059195 </span> </span> </span>
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = <span> <span> <span> 1,570.7963267949 </span>
</span></span><span><span>Area of base (rounded) = </span> 1,570.8 square cm
</span> 
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area = <span> <span> <span> 1,125.9468070466 </span> </span> </span>
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D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span> <span> <span> <span> 4,267.5 </span> </span> </span> square cm





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3 years ago
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