Can someone please help me with this
1 answer:
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Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
[See Below]
Step-by-step explanation:
Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).
So we work out the sum of missing fractions:
And so we know the fractions in the missing boxes must add up to .
This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so
.
So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.
Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.
(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)