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2 answers:
Answer:
16. A = 216 in.²
17. A = 180 cm.²
18. A = 252 cm²
Step-by-step explanation:
16. We want to split the triangle and square. We know that the triangle is a right triangle because its linear pair is 90°, which makes it also 90°.
Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 12, 17, 12, and 17.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
17. We want to split the trapezoid and rectangle. This is a rectangle because it has four right angles.
Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 20, 6, 6, and 20.
Now we can also prove that the bottom base of the trapezoid has a measure of 20 because of Reflexive Property.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
18. We want to split this hexagon into two rectangles. We know that they're rectangles because they have four right angles.
Remember, you can't assume that it's a square just because it looks like one. It is not to scale.
To find the length of the larger rectangle, we can add the separate measures of the side to find the total length.
Because it's a rectangle, we now have the measures of 12, 12, 18, 18.
Because the bottom side of the larger rectangle is 12 and the sum of both bottom sides of both rectangles is 18, that makes the bottom side of the second rectangle 6.
Because opposite sides of a rectangle are congruent, this rectangle is a square because it has four congruent sides and four right angles.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
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Answer:
Step-by-step explanation:
They want you to see how radius is important. Just remember that one radian is one radius, that should help you see why radius is important.
They ask for the unit circle , that is a circle of one unit for the radius, which makes it super easy to calculate things for it, they ask what is the area, which is that famous formula, π , then they ask what's its circumference. which is that other famous formula 2πr
so to go all the way around a circle of one unit radius, it's 2π exactly or about 6.28..... units, call it meters, or feet or inches, it doesn't mater here.
the size of the circle doesn't matter here either, b/c we are using the radius , that relaationship doesn't change , all circles, what ever size , have this same relationship between the radius and radians. :P this is handy.