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Triss [41]
2 years ago
8

Work out the area of this semi circle

Mathematics
1 answer:
kirill [66]2 years ago
5 0

Answer:

39.27

Step-by-step explanation:

The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.

The formula looks like this:

π × r² ÷ 2

The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)

and it tells us to substitute pi for 3.142.

So, plugging our numbers in we get:

3.142 x 5^2 ÷ 2 = 39.275.

Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.

<u>Hope this helps and have a nice day!</u>

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Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.
Westkost [7]

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

7 0
3 years ago
8/9 divided by 7/5 x 3/16
nadya68 [22]
This might be wrong but I got 120/1008
4 0
3 years ago
What is 15456415 times 45415
masha68 [24]

Answer: 701953087225 is the answer

4 0
3 years ago
Simplify the complex fraction. 8/5 divide by 6 3/4 *
hichkok12 [17]

Step-by-step explanation:

\frac{8}{5}÷6\frac{3}{4}

First, simplify the 6\frac{3}{4} to an improper fraction, which is:

\frac{27}{4}

Next rewrite the equation using the improper fraction:

\frac{8}{5}÷\frac{27}{4}

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.

\frac{8}{5}·\frac{4}{27}

Finally, multiply together and simplify/reduce if needed:

<u>The final answer is </u>\frac{32}{135}<u> and no simplification or reduction is needed</u>

4 0
4 years ago
What is 2(x-3) = 14<br> X= ?
HACTEHA [7]

Answer:

X=4 hope this helped :)

Step-by-step explanation:

2(x-3)=14

2x-6=14

2x= 14-6

2x=8

x= 4

8 0
3 years ago
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