Test Review Cycle 4

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https://mydata.dallasisd.org/docs/ACP/202122_1/Formula/Geometry_1101213F.pdf​

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​1. See that you can break down into two shapes, a trapezoid and a circle.

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2. Find the area of the two shapes.​

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Area of a trapezoid = 1/2*h*(b₁+b₂)

So, it becomes: 1/2*(8 ft)*(28+18) = 184

Area of a circle = ​πr²

So, it be​comes (3.14)(9)² = 254.3

We half it because it's half a circle = 254.3/2 = 127.2

Area composite = 127.2 + 184 = 311.2 ft²​

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​We use the formula to find a section or sector of a circle. We replace n with 45 degrees and r with 6 yards.

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A = (45/360)*​π(6)²

A = 14.1​

​1. First find the perimeter.

P = the length of a side * the number of sides

P = 4*6 = 24 cm

2. Find the apothem.

Apothem is given. It's 3 cm

3. Plug into formula:

A = 1/2*(apothem)*(perimeter)

A = 1/2*(​3)*(24)

A = 36​

​Identify the shape and then find the variables. Solve for volume.

1. This is a cylinder:

V = ​π​*r^2*h

2. Find variables.​

r or radius = 4 m

h or height = 10 m​

3. Solve for volume.

V = ​π​(4)²​(10) = 502.4 m³