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Evgen [1.6K]
2 years ago
7

Whats the area of this?

Mathematics
1 answer:
Pie2 years ago
6 0
Here’s how I solved to find the area. Hope this is helpful

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Answer:

A

Step-by-step explanation:

there is a constant pattern from one term to another

add -7 to get to the next term

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The blueprints show the deep end of the pool as 8 feet below ground, which
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What’s the question here?
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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
Rom4ik [11]

Answer:

  • The area of the figure will be 5π/2 in².
  • The perimeter will be 3π + 2 in

Step-by-step explanation:

This figure is a combination of two semi-circles.

  • One having diameter of 2 inches i.e. AD
  • Other having diameter of 4 inches i.e. AC

As

{\displaystyle \pi ={\frac {C}{d}}}

{{{C}}}=\displaystyle \pi.d

Perimeter of the big figure could be computed by cutting the perimeters of each circle in half, and then combing them together.

Area could be computed using the same way.

<u>Calculating the Perimeter:</u>

  • As the circumference of the smaller circle is 2π in. Cutting it half would yield the circumference of the smaller semi-circle i.e. π.
  • As the circumference of the bigger circle is 4π in. Cutting it half would yield the circumference of the bigger semi-circle i.e. 2π.
  • As the length of the segment DC is 2 in.

So, the total perimeter would be: π + 2π + 2 = 3π + 2 in

<u>Calculating the Area</u>

Area could be computed using the same way as we did during measuring perimeter.

As the area of circle is

A={\displaystyle \pi.r^{2}

As we are dealing with semi-circles. So, cutting the diameters of two semi-circles in half can let us find the radii of them.

So,

  • Smaller semi-circle has 1 in radius
  • Larger semi-circle has 2 in radius

Areas would have to be cut in half as well, as we are dealing with semi-circles.

So,

For smaller:

A_{small} =\frac{1}{2} {\displaystyle \pi.r^{2}

A_{small} =\frac{1}{2} {\displaystyle \pi.(1)^{2}

A_{small} =\frac{1}{2} {\displaystyle \pi

Hence, the area of smaller will be: π/2 in²

For larger:

A_{larger} =\frac{1}{2} {\displaystyle \pi.r^{2}

A_{larger} =\frac{1}{2} {\displaystyle \pi.(2)^{2}

A_{larger} =2 \pi^{}

Hence, the area of larger will be: 2π in²

Combining them together:

\frac{1}{2} {\displaystyle \pi^{} + 2 {\displaystyle \pi^{}=\frac{5}{2} {\displaystyle \pi^{}

Therefore,

  • The area of the figure will be 5π/2 in².
  • The perimeter will be 3π + 2 in

<em>Keywords: radius, area, perimeter, semi-circle, circle, diameter, circumference of circle</em>

<em>Learn more about circle measurements from brainly.com/question/3855576</em>

<em>#learnwithBrainly</em>

3 0
3 years ago
Read 2 more answers
Which of the following values is equal to − (−3.7)?
mojhsa [17]

Answer:

This term is equal to 3.7

Step-by-step explanation:

When you have two negatives in a row, you can cancel them both and make it a positive.

6 0
3 years ago
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