1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Art [367]
3 years ago
6

Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A

is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

You might be interested in
40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order
olga_2 [115]

Answer:

2^2x3x5

Step-by-step explanation:

7 0
3 years ago
How many quarters are there in<br> 7 3/4
Lana71 [14]

Answer:

31 quarters

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the product of the roots of the equation<br> xl-5x - 36 = 0
Marat540 [252]

Answer:

Step-by-step explanation:

Hello, I assume that you mean

x^2-5x-36

The product is -36.

x_1 \text{ and } x_2 \text{ are the two roots, we can write}\\\\(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2

So in this example, it means that the sum is 5 and the product is -36.

Thank you

5 0
3 years ago
The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an
Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0
3 years ago
Please please help me with this ​
iris [78.8K]

Answer:

angle FQE= Minor sector

6 0
3 years ago
Other questions:
  • Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
    9·2 answers
  • Which value should be added to this data set to produce a mean of 13?
    5·2 answers
  • Lamp is reduced from $80. to $50. what is the percent of decrease
    11·1 answer
  • Find the solution set for this equation.<br> a2 + 7a=0
    6·1 answer
  • ANSWER ASAP
    10·1 answer
  • Plz help I will give Brainllest to who gets it correct
    6·2 answers
  • Calculate the rate of change for each given function.
    5·1 answer
  • I NEED HELP PLEASE! Thank you
    11·1 answer
  • According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
    8·1 answer
  • What is the simplified expression for 3^-4 X 2^3 X 3^2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!