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alexandr402 [8]
2 years ago
15

Find the area of the shaded portion in each of the following​

Mathematics
1 answer:
MrRa [10]2 years ago
6 0

Answer:

30.5 cm^2

Step-by-step explanation:

<h3><u>General outline</u></h3>
  1. Find the area of the full circle
  2. Find the area of the rectangle
  3. Find the difference (full circle area - rectangle area)

<h3><u>Step 1.  Find the area of the full circle</u></h3>

Recall the formula for the area of a circle: A_{circle}=\pi r^2 where \pi \approx 3.14, and "r" is the radius of the circle (distance from center to any point on the edge).

From the diagram, the radius is 5cm.

A_{circle}=\pi r^2

A_{circle}=(3.14)(5[cm])^2

A_{circle}=78.5[cm^2]

<h3><u>Step 2.  Find the area of the rectangle</u></h3>

Recall the formula for the area of a rectangle: A_{rectangle}=bh where "b" is the base of the rectangle (length of bottom or length of top), "h" is the height of the rectangle (distance from bottom to top).

From the diagram, the base is 8cm, and the height is 6cm.

A_{rectangle}=bh

A_{rectangle}=(8[cm])(6[cm])

A_{rectangle}=48[cm^2]

<u />

<h3><u>Step 3.  Find the difference (full circle area - rectangle area)</u></h3>

Having found the areas for each of the first parts, we can find the difference to find the shaded area:

A_{shaded}=A_{circle}-A_{rectangle}

A_{shaded}=(78.5[cm^2])-(48[cm^2])

A_{shaded}=30.5[cm^2]<u />

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Step-by-step explanation:

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The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec
elena-14-01-66 [18.8K]

If S(t) is the amount of strontium-90 present in the area in year t, and it decays at a rate of 2.5% per year, then

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Let S(0)=s be the starting amount immediately after the nuclear reactor explodes. Then

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