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1 answer:
Answer:
67.5π m²
Step-by-step explanation:
See the diagram given with the question.
The angle moved by the radius line about the center to cover the shaded region is 300°.
As the radius(r) is known to be 9 m.
So, the area of the full circle is πr² = π × (9)² = 81π m².
Now, to cover the whole circle the radius line has to rotate 360° about the center.
Hence, for rotation of 360° the area obtained is 81π m².
Then for rotation of 300° the area obtained will be m². (Answer)
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Answer:
GCF = 5
Step-by-step explanation:
Given:
The numbers are given as:
10, 30 and 45
A factor of a number is a number by which the given number is evenly divisible.
Example: 2 is a factor of 4 as . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.
Now, factors of 10 = 1, 2, <u>5</u>, 10.
Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.
Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.
So, the greatest common factor in all the three numbers is 5.
Hence, the greatest common factor of 10, 30 and 45 is 5.
Answer:
Step-by-step explanation:
\[a_{n}=a{1}r^{n-1}\]
r=16/8=2
a_{12}=8(2)^{12-1}