Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
73 views
in Calculus by (114k points)
closed by
The rate of change of an area of a circle with respect to its radius which is 7 cms is
1. 21π
2. 14π
3. 7π
4. 12π

1 Answer

0 votes
by (115k points)
selected by
 
Best answer
Correct Answer - Option 2 : 14π

Concept:

Rate of change of 'x' with respect to 't' is given by \(\rm \frac {dx}{dt}\)

Calculation:

Given r = 7cms

Area of a circle A = π r2

\(\rm {dA \over dr}\) = 2πr

At r = 7cms

\(\rm {dA \over dr}\) = 2π × 7 

\(\rm {dA \over dr}\) = 14π 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...