If Point O is The Centre of The Circle in The Figure Above, What is The Radius of The Circle? GMAT Problem Solving

Question: If point O is the centre of the circle in the figure above, what is the radius of the circle?

1. 1
2. 2
3. 2.5
4. π
5. 4

Correct Answer: B

Solution and Explanation
Approach Solution 1:
This problem has only one approach solution. 
In order to find out the radius of the circle from the centre point given in the above diagram, it is important to focus on finding the radius of the circle.

Accordingly,m let the radius of the circle be ‘r’

In order to find out the radius of the given circle, it is important to make use of the circumference of the circle focusing on the formula of \(2\Pi r\).

Accordingly, to find the radius, the given angle in the diagram has been given as 45° while the length of the arc is given as \(\frac{\Pi}{2} \)

Considering the given radius, r, and the angle being 45°, the length of the arc \(\frac{\Pi}{2} \)can be determined from the circumference. This implies

\(2\Pi\frac{45r}{360} =\frac{\Pi}{2} \)

\(\frac{\Pi r}{4}=\frac{\Pi}{2} \)

r = 2

Significantly, the radius of the circle can be deemed as 2 for which option B is the correct answer.

“If point O is the centre of the circle in the figure above, what is the radius of the circle?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide 2018 Quantitative Review".To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

 

Suggested GMAT Problem Solving Questions

• If The Sum of 9 Consecutive Integers is 90 GMAT Problem Solving
• If a Carton Containing a Dozen Mirrors is Dropped GMAT Problem Solving
• Two Solutions Having Milk and Water in the Ratios 3 : 5 and 4 : 7 are GMAT Problem Solving
• A Mixture of 40 Liters of Milk and Water Contains 10% Water GMAT Problem Solving
• The Number 2 - 0.5 is How Many Times the Number 1 - 0.5? GMAT Problem Solving
• If n = 3, What is The Value of 2^2n+1? GMAT Problem Solving
• Which of the Following is Equal to 5^17×4^9? GMAT Problem Solving
• In a Group of 6 Boys and 4 Girls, Four Children Are to be Selected GMAT Problem Solving
• Which of the Following Fractions has a Decimal Equivalent that is a Terminating Decimal? GMAT Problem Solving
• The Price of Onions Increases by 25%, by what Percent should a Housewife Reduces the Consumption so that Expenditure on Onions can be Same as Before? GMAT Problem Solving
• A and B are Two Alloys of Gold and Copper Prepared By Mixing Metals in GMAT Problem Solving
• For integers x and y, 2^x+2^y=2^30. What is the value of x+y? GMAT Problem Solving
• United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service GMAT Problem Solving
• Lamp A Flashes Every 6 seconds, Lamp B Flashes Every 8 seconds, Lamp C Flashes Every 10 seconds GMAT Problem Solving 
• At a Sandwich Shop, There are 2 Breads, 3 Kinds of Meat, 4 Types of Cheeses GMAT Problem Solving
• A Survey was Conducted Among 1000 People to Know About their Eating Habits GMAT Problem Solving
• Jake Rides His Bike for the First 2/3 of the Distance From Home to School GMAT Problem Solving
• Two Trains Running in Opposite Directions Cross a Man Standing on the Platform GMAT Problem Solving
• Initial Population of a Town was 8000 PeopleGMAT Problem Solving
• The Volume of a Sphere with Radius r is (4/3)*pi*r^3. A Solid Sphere GMAT Problem Solving
• Which of the Following is Equal to 5^17×4^9? GMAT Problem Solving
• In a Shooting Competition, Probability of A Hitting Target is 2/5, by B is 2/3 and C is 3/5 GMAT Problem Solving
• The Sides of a Quadrilateral Taken in Order are 16,16,14 and 10 GMAT Problem Solving
• If 80 Lamps Can Be Lighted, 5 Hours Per Day For 10 Days GMAT Problem Solving
• If denotes the area of a circle with diameter d, then which of the following is equal to <4>*<6> GMAT Problem Solving
• At exactly what time past 7:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time? GMAT Problem Solving
• There is a 120 Liter Mixture of Alcohol and Water GMAT Problem Solving
• When X Is Divided By 13, The Answer Is Y With a Remainder of 3. GMAT Problem Solving
• If a/b = 2/3 Which of the Following is Not True? GMAT Problem Solving
• 1/3 of the Cookies in a Jar are Chocolate Chip, 2/3 of the Remaining Cookies are Peanut Butter GMAT Problem Solving
• The Kinetic Energy K, in Joules, Provided by the Mass of a Particle m GMAT Problem Solving
• A Recent Survey Showed That 50 Percent of People Polled Believe that Elected Officials Should Resign GMAT Problem Solving
• The Perimeter of a Square is Equal to the Perimeter of a Rectangle Whose Length And Width are 6m and 4m Respectively GMAT Problem Solving
• The Closing Price of Stock X Changed on Each Trading Day Last Month GMAT Problem Solving
• An Exam Consists of 8 True/False Questions GMAT Problem Solving
• From her Collection of 9 Different Hats Ellen Wants to Wear one Different Hat GMAT Problem Solving
• Company C Sells a Line of 25 Products with an Average Retail Price of $1,200GMAT Problem Solving
• A Man has 1044 Candles. After Burning, He can Make a New Candle GMAT Problem Solving
• An Equilateral Triangle ABC is Inscribed in Square ADEF GMAT Problem Solving
• A Popular Website Requires Users to Create a Password Consisting of Digits Only GMAT Problem Solving
• If the expression sqrt2+2+2+2+ ... extends to an infinite number of roots GMAT Problem Solving
• How Many Different Lines Are Determined by 4 Distinct Points in a Plane If No 3 GMAT Problem Solving
• If The Diagonal of Rectangle Z is d, And The Perimeter of Rectangle Z is p GMAT Problem Solving
• 99,999^2−1^2 = ? GMAT Problem Solving
• How Many of The Three-Digit Numbers Are Divisible by 7? GMAT Problem Solving
• In a Camp, There is a Meal for 120 Men or 200 Children GMAT Problem Solving
• As Part Of a Game, Four People Each Must Secretly Choose an Integer Between 1 and 4 GMAT Problem Solving
• If Integer p is a Factor of 42, is p a Prime Number? GMAT Problem Solving
• A Triangle in the xy-Coordinate Plane Has Vertices With Coordinates (7, 0), (0, 8), and (20, 10) GMAT Problem Solving
• A Regular Hexagon is Inscribed in a Circle, What is the Ratio of the Area of the Hexagon GMAT Problem Solving