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lawyer [7]
3 years ago
10

A circle with area \blue{9\pi}9πstart color #6495ed, 9, pi, end color #6495ed has a sector with a central angle of \purple{60^\c

irc}60 ∘ start color #9d38bd, 60, degrees, end color #9d38bd. What is the area of the sector?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

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In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o
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<h2>Answer:</h2>

There are 1757600 possibilities.

<h2>Step-by-step explanation:</h2>

In a certain state, fishing licenses are in the form of LLL NN

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N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

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Hence, the total possible outcomes will be :

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3 years ago
Read 2 more answers
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