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Morgarella [4.7K]
2 years ago
8

Find the area of a circle whose circumference is the same as the perimeter of a square of side 22 cm. (Take π = 22/7)

Mathematics
2 answers:
ddd [48]2 years ago
7 0

Answer:

176cm²

Step-by-step explanation:

Side of square = 22cm

Perimeter of square = 88cm

Circumference of circle = perimeter of square

2π r = 88cm

2 x 22/7 x r = 88cm

44/7 x r = 88cm

r = 88 x 7/44

r = 14cm

Area of circle = π x r x r

= 22/7 x 14 x 14

= 44 x 4

= 176 cm²

Nadya [2.5K]2 years ago
5 0

Answer:

Perimeter of a square=circumference of circle

4×22=2πr

44=πr

r=14

Area of circle=πr2

22/7×14×14

28×22

616

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B.

Step-by-step explanation:

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Select all the points that are on the graph of the line y=1/2x+5
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Step-by-step explanation:

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2 years ago
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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when \theta=30  is 129.9 square feet. Area of triangle when \theta=40 is 188.85 square feet. Increasing the angle  \theta  increases the area.


Step-by-step explanation:

The equation that models the height of the triangle is:

y=15 Tan \theta

Where,

  • y is the height, and
  • \theta  is the angle

A.

When \theta=30 , the height is:

y=15Tan30\\y=8.66


B. When \theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59


C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

A=\frac{1}{2}bh

Where,

  • A is the area
  • b is the base, which is given as 30 feet, and
  • h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

<u>When Vance uses \theta=30 , the area is</u>:

A=\frac{1}{2}(30)(8.66)\\A=129.9  square feet


<u>When Vance uses \theta=40 , the area is</u>:

A=\frac{1}{2}(30)(12.59)\\A=188.85  square feet


So we see that when the angle is more, the area is also more.

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3 years ago
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I have the answer but I have to show work help?
Marina86 [1]
See attached picture for steps

4 0
3 years ago
What’s the answer for this??
Arturiano [62]

Answer:

I would say D

Hope This Helps!       Have A Nice Afternoon!!

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3 years ago
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