A quadrant is a 4 minutes 1 of a circle. Therefore to occupational out the area of a quadrant, first work out the area that the whole circle (use the formula A = π ×r²) and also then division the prize by 4. Alternatively, you can substitute the radius of the quadrant directly into the formula A = ¼ πr². Let’s take a look at a few examples on functioning out the area of quadrants:
Example 1
Work the end the area that this quadrant (radius 8cm).
You are watching: Area of a quarter circle formula
Method 1 (using the area of a entirety circle and dividing through 4)
First work-related out the area of the totality circle by substituting the radius of 8cm right into the formula for the area that the circle:
A = π ×r²
= π ×8²
= 64π (leave the prize as precise solution as this need to be split by 4).
So every you must do now is division the answer by 4:
Area of a quadrant = 64π ÷4 = 16π = 50.3 cm² come 3 significant figures.
Method 2 (using ¼ πr²)
Substitute r = 8 straight into the formula A = ¼ πr².
A = ¼ πr².
A = ¼ × π × 8².
A = 50.3 cm²
As you have the right to see that gives precisely the same answer as method 1.
Example 2
Work the end the area that this quadrant (radius 3.8m).
Read more From sdrta.net
The top 10 biggest Snakes in the World
Dueling Scars: The Nazi Officer argorial of Honor
Rabbi Abraham Joshua Heschel: A man of Peace
Like instance 1, begin by substituting the radius the 3.8m right into the formula because that the area of the circle:
A = π ×r²
= π ×3.8²
= 14.44π (leave the price as an exact solution together this should be divided by 4).
Again, every you should do now is division the price by 4:
Area that a quadrant = 14.44π ÷4 = 16π = 11.3 m² to 3 significant figures.
Method 2
Substitute r = 3.8m directly into the formula A = ¼ πr².
A = ¼ πr².
A = ¼ × π × 3.8².
A = 11.3 m²
As you deserve to see that gives exactly the exact same answer as method 1.
Questions & Answers
Question: have the right to you find the area the quadrant of a circle whose circumference is 22?
Answer: First, find the radius of the circle by dividing the circumfernece by Pi and halving the answer to offer 3.501 to 3 decimal places.
Now use 0.25*Pi*radius^2 to give the area that the quadrant 0.25*Pi*3.501^2 = 9.63 come 2 decimal places.
Question: If the area that a circle is 100 cm2, what's the area of among its quadrants?
Answer: all you need to do is divide 100 through 4 to provide 25 cm^2.
Question: What is the area of a quadrant through a radius that 6cm, offered in terms of Pi?
Answer: an initial square the radius that 6 to give 36.
Now main point 36 through Pi to offer 36Pi
Next, division the price by 4 to 9Pi.
Question: What is the formula for functioning out the area of a quadrant?
Answer: 0.25*Pi*r^2.
Question: Is the area of a quarter-circle an alleged to it is in (8² x π) /4 ?
Answer: Yes, the formula have the right to be composed as (radius² x π) /4.
I think you are showing an example when the radius of the 4 minutes 1 circle is 8.
Question: If the wheel that a gate is 3 feet indigenous the wall surface and it transforms over 90 degrees, what is the distance extended by the wheel?
Answer: First twin 3 feet to offer a diameter that 6 feet.
Next multiply 3.14 by 6 to offer the circumference of the whole circle which is 18.84 feet.
Now divide the prize by 4 together 90 degrees is 1/4 that the entirety circle to give 4.7 feet come 1 decimal place.
Question: deserve to you discover the area that a quadrant who radius is 9cm?
Answer: Square 9 to offer 81.
Now multiply 81 through 3.14 to provide 254.34.
Finally division 254.34 by 4 to offer 63.6 come 1 decimal place.
Question: What is the area of the quadrant with a radius the 14cm ?
Answer: The area the the totality circle is Pi time 14 times 14 which gives 615.75... Cm^2.
Now division this answer by 4 to give 153.9 cm^2 to 1 decimal location (or 49Pi).
Question: What is the area the a quadrant through a radius the 4.3cm?
Answer: occupational out 0.25 mutlplied by Pi multiplied by 4.3^2 to provide 14.5 cm^2 rounded to 1 decimal place.
Question: What is the Area for 1/4 circle through radius that 6?
Answer: an initial square the radius to give 36, and also multiply the by π to give 36π.
Now division this prize by 4 to give 9π.
Question: The radius that a quarter circle is 3 millimeters. What is the 4 minutes 1 circle's area? (r=3 mm, Pi = 3.14)
Answer: work-related out 3^2 i beg your pardon is 9.
Now times 9 through 3.14 i beg your pardon is 28.26.
Now divide 28.26 through 4 to give 7.065 mm^2.
See more: What Does It Mean By Employer Name On An Application? What Does Employer Name Mean
Comments
d,annalee on September 08, 2013:
Not what ns was looking for but good
By
Mark
Related Articles
Literature
Macbeth"s Soliloquies provided and Explained
By Jule Romans
4 hrs ago
Teaching
What Is a teaching Portfolio?
By Jule Romans
4 hours ago
Teaching
How to produce a teaching Portfolio: Advice and assist for getting Started
By Jule Romans
4 hrs ago
Teaching
How to make a Teacher Portfolio: 5 procedures to Success
By Jule Romans
4 hrs ago
Teaching
What to incorporate in a Teacher Portfolio
By Jule Romans
4 hours ago
Zoology
The Margay: A Beautiful Wild Cat of central & south America
By Linda Crampton
6 hours ago
Paleontology
Top 5 ancient Predators the Ice period North America
By cryptid
14 hours ago
History
The Republic of Texas and the annexation of Texas
By Doug West
15 hours ago
Zoology
50 many Endangered Animal species in the World
By Kelley Marks
16 hours ago
Astronomy
The Drake Equation Explained: The search for Intelligent extraterrestrial Life
By cryptid
16 hours ago
ESL
Objectively evaluating ESL and EFL speak Proficiency with a Rubric
By Paul Richard Kuehn
Nov 19, 2021
Computer Science
How to produce a respond to in react JS
By Saleh Mubashar
Nov 18, 2021
Visual Arts
70 greatest Paintings of modern Art
By Kelley Marks
Nov 18, 2021
STEM
Rapamycin, mTOR, and feasible Anti-Aging results in Dogs
By Linda Crampton
Nov 18, 2021
Microbiology
Yersinia: Plague, Food Poisoning, and a Potential Cancer Treatment
By Linda Crampton
Nov 18, 2021
Loading…
See More
© 2021 Maven Media Brands, LLC and also respective content suppliers on this website. Various other product and agency names shown may be trademarks the their corresponding owners. Maven Media Brands, LLC and also respective content companies to this website may receive compensation because that some web links to products and services ~ above this website.
CLOSE
CLOSE
CLOSE
CLOSE