Please help me find the length of P.I.

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t

lidiya [134]

Answer:

Perimeter = 98 cm

Area = 596 $cm^{2}$

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

$\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm$

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length $\times$ Width

$\Rightarrow 30 \times 25 = 750\ cm^{2}$

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

$\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}$

So, area of figure = 750 - 154 = 596 $cm^{2}$

3 0

2 years ago

Which of these are a litre unit:<br> Capacity, Mass, Density or Area?

Irina18 [472]

Answer:

mass

Step-by-step explanation:

I think mass is the litre unit

8 0

2 years ago

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9 in. 14 in. Find the area of the triangle shown above. [?] square inches

mamaluj [8]

Answer:

63

Step-by-step explanation:

9 x 14 = 126/2 = 63

7 0

3 years ago

Find the missing dimension. use the scale factor 5:8

klasskru [66]

Question 14
5 : 8
1.5 : x
$5x = 12 \\ x = 2.4$
Answer : Actual length = 2.4m

Question 15
5 : 8
x : 20
$8x = 100 \\ x = 12.5$
Answer : Actual length = 12.5m

Hope this helps. - M

7 0

3 years ago

A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFract

KengaRu [80]

Answer:

1) (2.2, -1.4)

2) (1.33, 1)

Step-by-step explanation:

Question 1)

Two lines, with their corresponding equations are given and we have to find the solution to the system of equations.

The given lines are:

Equation of Line 1:

$y=\frac{-7}{4}x+\frac{5}{2}$

This line passes through the points: (0, 2.5) , (2.2, -1.4)

Equation of Line 2:

$y=\frac{3}{4}x-3$

This line passes through the points (0, -3) , (2.2, -1.4)

By looking at the graph/given data we have to find the solution of these linear equations.

Remember that the solution of linear equations is an ordered pair, through which both the lines pass i.e. the point at which both the given lines intersect is the solution of the linear equations.

From the given data we can see that both the lines pass through one common point, (2.2, -1.4). Since, both lines pass through this point, this means this is the point of intersection of the lines and hence there solution.

So, the answer to this questions is (2.2, -1.4)

Question 2)

The given equations are:

y = 1.5x - 1 Equation 1

y = 1 Equation 2

We can solve these equations by method of substitution.

Substituting the value of y from Equation 2, in Equation 1, we get:

1 = 1.5x - 1

1 + 1 = 1.5x

2 = 1.5x

x = 2/1.5

x = 1.33

y = 1

Thus, the solution of the given linear equations is (1.33, 1)

5 0

3 years ago

Read 2 more answers