Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

A circular disc has a diameter of 24 centi-meters. What is the area of the disc?

Answer
VerifiedVerified
407.4k+ views
like imagedislike image
Hint: Here in this question, we have to find the area of the disc. A disk is a round, flat circle. For this we have to consider the formula of area of circle A=πr2, where ‘r’ be the radius of circle which equals half of the diameter then on substituting the values in formula and on further simplification we get the required solution.

Complete step by step answer:
Given the circular disc of diameter 24 cm, we need to find its area.
seo images

Consider the formula of area of circle:
A=πr2 ----- (1)
r’ be the radius of circular disc which equal to half of its diameter i.e., r=d2242=12cm.
Substitute the value of rin equation (1), then we have
 A=π(12)2
On simplification we get
A=144πcm2.
Or
A=144(3.14)
( The value of π=227=3.14)
A=452.16cm2.
Hence, the area of the circular disc is 144πor 452.16cm2.

Note:
If the diameter of the circle is known to us, we can calculate the radius of the circle, such as r=d2. In mensuration problems, don't forget to write the units. The unit of area is the square unit, such as m2, cm2, etc. Sometimes students get confused between the formula of perimeter and area of circle so for that just check the units like what unit we will get from the formula.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
Select and buy