What is the radius of the circle whose perimeter is equal to its area?

π units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0 units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 unit

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
2 units

Let the radius of the circle = r
Area of circle = $π r^{2}$
Perimeter of the circle = 2 $π$ r
Area of circle = Perimeter of the circle
$π r^{2}$ = 2 $π$ r
r = 2 units

Suggest Corrections

Similar questions

Q. The area of a sector whose perimeter is four times its radius r units, is

(a)

\frac{r^{2}}{4}

sq. units

(b) 2r² sq. units

(c) r² sq.units

(d)

\frac{r^{2}}{2}

sq. units

Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

(A) 2 units (B) π units (C) 4 units (D)7 units

Q. Question 5
Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
(A) 2 units
(B) π units
(C) 4 units
(D) 7 units

Q. Question 5
Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
(A) 2 units
(B) π units
(C) 4 units
(D) 7 units

Q. If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to
(a)

\frac{2}{π} unit

(b)

\frac{1}{π} unit

(c)

\frac{π}{2} units

(d) π units

Join BYJU'S Learning Program

What is the radius of the circle whose perimeter is equal to its area?

The correct option is B 2 units Let the radius of the circle = r Area of circle = πr2 Perimeter of the circle = 2πr Area of circle = Perimeter of the circle πr2 = 2πr r = 2 units

The correct option is B
2 units

Let the radius of the circle = r
Area of circle = $π r^{2}$
Perimeter of the circle = 2 $π$ r
Area of circle = Perimeter of the circle
$π r^{2}$ = 2 $π$ r
r = 2 units