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marta [7]
3 years ago
8

Can someone explain major and minor arcs in relation to circles.

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
A Major Arc within a circle is something that that is more than half of the circle, and therefore, larger than the minor arc. The way in which this could be used in an example is; Tony has a pizza with 8 slices, 6 of these slices are pepperoni and 2 are chilli beef. In this case, the pepperoni slices are the major arc and the chilli beef slices are the minor arc.
The Major Arc will always be bigger than the minor arc- whether this is 181 degrees to 179, or whether this is 350 degrees to 10 degrees.
The Minor Arc is always the smallest arc, and this can be explained by; Benedict has an apple pie that has 10 slices, between him and his friends, they have eaten four slices. In this case, they have eaten the 'minor arc'
There is a picture attached, and this is the examples of a major and a minor arc.
Hope this has been able to help you :) 

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Answer:

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

Step-by-step explanation:

Let

x ----> Siw's age

y ---> Mona's age

z ---> Mother's age

we know that

Siw is a fourth as old as mother

so

x=\frac{1}{4}z ----> equation A

Mona is a fifth as old as mother

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so

z=x+y+22 ----> equation C

substitute equation A and equation B in equation C

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Multiply by 20 both sides to remove the fraction

20z=5z+4z+440

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Find the value of x

x=\frac{1}{4}(40)=10\ years

Find the value of y

y=\frac{1}{5}(40)=8\ years

therefore

Siw's age is 10 years old

Mona's age is 8 yers old

Mother's age is 40 years old

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