Statement 1: The area of a quarter circle is one-fourth of that of a circle with

Sail E0 Webinar

Question

Statement 1: The area of a quarter circle is one-fourth of that of a circle with same radius.
Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with same radius.

Options:

A . Both the statements are true

B . Statement 1 is true and statement 2 is false

C . Statement 1 is false and statement 2 is true

D . Both the statements are false

Answer: Option B
:
B
The area of a quarter circle is one-fourth of that of the complete circle because the area is the region enclosed. For a semi-circle, it is half of the total area and for quarter circle, it is one-fourth. So, area of a quarter circle with radius

r = \frac{π r^{2}}{4}

The circumference is the length of the boundary. For a quarter circle with radius r, circumference is given by

(\frac{π r}{2}) + 2 r

.
So, statement 1 is true and statement 2 is false.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How man....can fence the garden with 5 plants every 2.5 metres?

Question 2. If the edge length of a square is a units, the area of the square is a22 square units.....

Question 3. In order to plant 4 plants per meter, how many plants should you buy to edge your garden along the path as in the given ....your garden along the path as in the given figure?

Question 4. The perimeter of a circle with a diameter = '14 cm' is equal to 88 cm.....

Question 5. In the following figure, the area of the total cloth required is 80 cm2 and the area of the yellow cloth required is 6....cloth, what is the area of the red cloth required?

Question 6. The diameter of a circular park is 14 m. Find the perimeter of the park. Assume (π= 227). ....

Question 7. A 2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.....

Question 8. EF divides the rectangle ABCD in two equal parts of _____.....

Question 9. The area of the given figure is ____ cm2. (Both the ends are semi-circular)(All dimensions in cm and π = 22/7)_....the ends are semi-circular)(All dimensions in cm and π = 22/7)___

Question 10. Find the total area of a metal sheet which is in the form of a square of side 5 m. ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0