The area of a circle with chord length of 3√2cm is 28. 3 cm²
<h3>How to determine the area</h3>
The formula chord length of a circle is expressed as;
Chord Length = 2 × r × sin(c/2)
Where;
- r is the radius
- c is the angle formed by the chord and the circumference of the circle
- Chord length = 3√2
Let's substitute into the formula
3√2 = 2r sin 90/ 2
3√2 = 2r sin 45
3√2 = 2r × 1/ √2
2r = 3√2 ×√2/ 1
2r = 6
Make 'r' the subject
r = 6/2
r = 3cm
The formula for area of a circle is expressed as;
Area = πr²
Area = 3.142 × (3)²
Area = 3. 142 × 9
Area = 28. 3 cm²
Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²
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Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Mean: add up all numbers and divide by the number of data
12 + 12 + 7 + 5 + 10 + 16 = 62
62/6 = 10.333... (mean)
5,7,10,12,12,16
Find what’s in the middle
The medium is 11
15:20
divide each by 5
3:4
to find the ratio of the area's we square the ratio's of the sides
3^3 : 4^2
9:16
Choice B
Answer:
Step-by-step explanation:
Or, if you mean (r+3Q)/h=t:
