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3 years ago

Please help with this question

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

a) 50π cm^2

b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

The formula for the area of a quarter circle is ...

A = (1/4)πr^2

For a radius of 20 cm, the area is ...

A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

The shaded area is the difference of the areas of the quarter circle and semicircle:

shaded area = (100π cm^2) -(50π cm^2)

shaded area = 50π cm^2

b) The ratio of the shaded area to the square area is ...

shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

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4 years ago

Read 2 more answers

Ruby conducted a survey and found that 5/6 of her classmates have a pet and 2/3 of them are dogs what fraction of her classmates

lina2011 [118]

This is how I would solve it, I would act as if there were 36 people in the class.
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You could also try another number such as 24;
24×(5÷6)=20
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Tell me if this helps.

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4 years ago

Please help with this question​

Please help with this question