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4 years ago

The diagram shows a circle drawn inside a square the circle touches the edges of the square

Mathematics

1 answer:

const2013 [10]4 years ago

3 0

Answer:

69.5309950592 cm²

Step-by-step explanation:

Area of Square:

Area = $Length * Length$

Area = 18*18

Area = 324 square cm

Area of circle:

Diameter = 18 cm

Radius = 9 cm

Area = $\pi r^2$

Area = (3.14)(9)²

Area = (3.14)(81)

Area = 254.469004941 square cm

Area of Shaded area:

=> Area of square - Area of circle

=> 324 - 254.469004941

=> 69.5309950592 cm²

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Find the value of "a" such that the slope between the point (-4, 5) and (3, a) is 2/3.

timurjin [86]

$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\the\ slope:m=\dfrac{y_B-y_A}{x_B-x_A}$

$(-4;\ 5);\ (3;\ a);\ m=\dfrac{2}{3}\\\\subtitute:\\\\\dfrac{a-5}{3-(-4)}=\dfrac{2}{3}\\\\\dfrac{a-5}{7}=\dfrac{2}{3}\ \ \ \ \ |cross\ multiply\\\\3(a-5)=7\cdot2\\\\3a-15=14\ \ \\ |add\ 15\ to\ both\ sides\\\\3a=29\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=\frac{29}{3}}$

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4 years ago

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agasfer [191]

Answer:

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3 years ago

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stira [4]

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6 0

3 years ago

Read 2 more answers

Find the difference, –8 – (–5). Then check your work by writing the equivalent addition sentence.

pav-90 [236]

Answer:

-3

Step-by-step explanation:

double negative = positive so the equation turns into -8+5. add 5 by going 5 spaces closer to 0 on a number line. the answer is -3.

another equation is -3-5=-8

hope this helped! =)

4 0

3 years ago

Kevin designs a sprinkler system for his yard. One rotation of the the sprinkler waters a circle with an area of 255pie square f

pantera1 [17]

The area of a circle can be found using:
pi x r^2 (where r is the radius)

If the area of the circle is 255pi, then:
pi x r^2 = 255pi

Now we need to make r the subject:

r^2 = 255 (cancel the pi on both sides)

r = square root of 255

r = 15.96871942

Answer: 15.96871942 feet
Hope the answer helps :)

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3 years ago