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vampirchik [111]
2 years ago
5

In the circle shown below, ∠BAC is a central angle, and r is the length of AB.

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

Answer:

Ф = the measure of ∠BAC in radians

Step-by-step explanation:

∵ ∠BAC is a central angle

∴ The are of the sector will depended on the length of the radius <em>r </em>and the measure of the central angle <em>Ф</em>

If the measure of Ф in degrees

∴ The area of the sector = Ф°/360° (π r²)

If the measure of Ф in radians

∴ The area of the sector = 1/2 r² Ф

When to change from degree to radian you do that

Ф radian = Ф°/180 × π

∴ Ф/360 π r² = 1/2 <u>(Ф/180 π)</u> r² ⇒ ∵ underline is Ф radian

∴ Area sector = 1/2 r² Ф ⇒ Ф in radians

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2 years ago
Which is the midpoint of the segment joining (12, 2) and (-5, – 7)?
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Answer:

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Step-by-step explanation:

Midpoint of line segment is calculated as

m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )  -----------(1)

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Substituting values in equation (1)

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3 0
3 years ago
One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers. Which of the
worty [1.4K]
Let, the first (smaller) number = x
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Hope this helps!
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