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3 years ago

There’s only one question (picture)

Mathematics

1 answer:

oee [108]3 years ago

7 0

Area of circle is 314 inches^2

Circumference of circle is 62.8 inches

Step-by-step explanation:

We need to find area and circumference of the circle whose diameter is 20 inches.

Area of circle

The formula used to find area of circle is:

$Area=\pi r^2$

value of π = 3.14

we know radius = diameter/2

So, radius = 20/2 = 2

Putting value of π and radius we get Area:

$Area=\pi r^2\\Area= 3.14*(10)^2\\Area=3.14*100\\Area=314\,\,inches^2$

So, Area of circle is 314 inches^2

Circumference of Circle

The formula used to find circumference of circle is:

$Circumference=\pi d$

value of π = 3.14

diameter= 20

Putting value of π and diameter we get Circumference:

$Circumference=\pi d\\Circumference=3.14*20\\Circumference=62.8\,\,inches$

So, circumference of circle is 62.8 inches

Keywords: Area and Circumference of Circle

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3 years ago

Lines g, h, and I are parallel and m < 2 =129

vampirchik [111]

Answer:

All angles in this diagram are 51 or 129. See below for a specific angle.

Step-by-step explanation:

Parallel lines cut by a transversal have specific angle relationships.

Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 3, 6, 7, and 10 are all congruent and are pairs of alternate interior angles. 4, 5, 8, and 9 are congruent as well.
Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 2 & 11 are congruent alternate exterior angles. 1 and 12 are another set.
Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 2 = 129, then Angle 1+ 129 =180. Angle 1 must be 51 degrees.
Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 3 are both 129.

Using these relationships, the following angles have the following measures:

Angle 1 = 51

Angle 2 = 129

Angle 3 = 129

Angle 4 = 51

Angle 5 =51

Angle 6 = 129

Angle 7 = 129

Angle 8 = 51

Angle 9 = 51

Angle 10 = 129

Angle 11 = 129

Angle 12 = 51

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Stels [109]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Sever21 [200]

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