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Alborosie
3 years ago
7

Points A and B lie on a circle centered at point O. If OA=5 and lenth of AB/circumference=1/4 what is the area of sector AOB? Us

e the value pi =3.14
Mathematics
1 answer:
MakcuM [25]3 years ago
4 0
<h3>Given</h3>
  • arc AB of circle O is 1/4 of the circumference
  • radius of circle O is 5
  • pi is 3.14
<h3>Find</h3>
  • area of sector AOB
<h3>Solution</h3>

Since arc AB is 1/4 of the circumference, the central angle AOB will be 1/4 of a circle, so π/2 in radians. The area of a sector is given by

... A = (1/2)r²·θ

where θ is the central angle in radians and r is the radus.

The area is ...

... A = (1/2)·5²·π/2 = 25π/4

... A ≈ 19.625

The area of the sector is about 19.63 square units.

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katen-ka-za [31]

I know 6% of $3000 is $180

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Dafna11 [192]

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Step-by-step explanation:

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5 0
2 years ago
James earned $39,600 last year. He paid $11,250 towards rent and $1,422 in car payments. What percent of his earnings did Jon pa
tester [92]
Step 1:
Add rent & car payments

=11,250+1422
=$12,672

Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100

12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
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OR

Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places

His rent and car payments are 32% of his earnings.

Hope this helps! :)
5 0
3 years ago
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4(a+2)=8+4a <br> What is the value of a
madreJ [45]

Answer:

there is no answer they are equal. anything can be put into a and it will still be true

Step-by-step explanation:

4a+8=8+4a

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7 0
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