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KATRIN_1 [288]
1 year ago
9

Find the area of the shaded region in the figure below, if the radius of the outer circle is 4 and the radius of the inner circl

e is 2. Keep your answer in terms of π.
Mathematics
1 answer:
denis-greek [22]1 year ago
5 0

TheThe  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

<h3>Area of the shaded region</h3>

Area of a circle = πr²

r =radius of the circle

Area of the outer circle:

Area of the outer circle = π(4)²

Area of the outer circle = 16π

Area of the inner circle:

Area of the inner circle = π (2)²

Area of the inner circle = 4 π

Area of the shaded Region :

Area of the shaded Region = 16π - 4 π

Area of the shaded Region = 12π

Therefore the  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

Learn more about area of the shaded region here: brainly.com/question/19577281

#SPJ1

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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
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The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

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The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

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