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
Archy [21]
3 years ago
8

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

he part left? and also what is the area of the part left
​

Mathematics
1 answer:
lidiya [134]3 years ago
3 0

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}

You might be interested in
Which mathematical sentence most Accurately expresses the information in the problem below?
d1i1m1o1n [39]

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs <em>into </em>cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

5 0
3 years ago
crystal is picking blueberries.so far,she has filled 2/3 of her basket,and the blueberries weigh 3/4pound .the equation 2/3w=3/4
vesna_86 [32]
In order to do this, we multiply both sides be the amount that would make the left side equal to 1.  This number is the reciprocal of the fraction, so we multiply both sides by 3/2.  This is equal to:

w = 9/8

So, the blueberries in crystal's basket will weigh 9/8 pounds when it is full.
7 0
3 years ago
What 18 time 178 plus 98-2
Sidana [21]
178 * 18 + (98-2)
3204 + 96

3300
4 0
3 years ago
Read 2 more answers
Which of the following is a correct equation for the line passing through the
11Alexandr11 [23.1K]

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

6 0
2 years ago
Read 2 more answers
Corrected work and description of error
hichkok12 [17]

Answer:

hmm i have no idea can u send a clear pic of question?

8 0
2 years ago
Other questions:
  • Can anyone help me with my last two questions 13 points each
    13·1 answer
  • The area of the rectangle shown is 24 square inches. how much longer is its length than its width?
    15·1 answer
  • 5.2 8th go math page 137 question 9
    9·1 answer
  • What is 4/3 subtracted by 2/5
    15·1 answer
  • Locate any intercepts.​
    10·1 answer
  • What is the slope of the line between (3, 10) and (5,8)?<br> HELP!!!
    13·1 answer
  • figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x​
    10·1 answer
  • Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole.
    10·1 answer
  • Store A sells 20 ounces of granola for $5. Store B sells 27 ounces of granola for $9. Which store offers the better price per ou
    5·1 answer
  • Expand this question ...
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!