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3 years ago

What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

77° is the answer to your question

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The circumference of a circle is 22 cm.

valkas [14]

$\bf \: Circumference \: of \: a \: circle = 2\pi \: r$

$\implies22 = 2 \times \dfrac{22}{7} r$

$\implies22 = \dfrac{44}{7} \times r$

$\implies \: r = \dfrac{22 \times 7}{44}$

$\implies \boxed{ r = \dfrac{7}{2} }$

Now,

$\bf \: Area \: of \: circle = \pi {r}^{2}$

$\rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2}$

$\rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4}$

$\rightarrow \: 22 \times \frac{7}{4}$

$\rightarrow \: 11 \times \frac{7}{2}$

$\rightarrow \frac{77}{2}$

$\rightarrow \: 38.5 \: cm {}^{2}$

Area of rectangle = 38.5 cm².

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3 years ago

A rectangle has a perimeter 60m and base21 m what is its area

Komok [63]

Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.

First, you multiply 21 by 2, because there are two bases to a rectangle.

You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.

60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.

Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.

Therefore, the area of the rectangle is 189 meters

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LEAST COMMON MULTIPLE is 56

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