The diameter of a circle found by measurement $5.2$ cms with a maximum error $0.05$ cms. The maximum error in its area is?

4.1

sq.cms

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

0.041

sq.cms

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

0.41

sq.cms

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

0.5

sq.cms

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

Open in App

Solution

The correct option is C $0.41$ sq.cms
Diameter of circle = $5.2 \pm 0.05 c m$
$∴$ radius of circle (r) = $2.6 \pm \frac{0.05}{2} c m$
$∴ d r = \frac{0.05}{2}$
$∵ A = π r^{2}$
$\Rightarrow d A = 2 π r d r$
$= 2 \times 3.14 \times 2.6 \times \frac{0.05}{2}$
$= 0.41$ sq. cms

Suggest Corrections

Similar questions

Q. The area of square is

9 s q c m s

and the error in its is

0.02 s q . c m

The percentage error in the measurement of the length of the diagonal of the square is

Q. The length of a rectangle is 5cm longer than the breadth and it's peimeter is 150 cm. Find the area of the rectangle.

In the given figure, a circle is inscribed in a trapezium of height 14 cm and lengths of parallel sides are equal to 25 cm and 40 cm. What is the area of the shaded region?

Q. If the radii of two concentric circles are 15 cm and 13 cm, respectively, then the area of the circular ring in sq. cm will be

I :

The sides of a rectangle are

(6 - x) c m

and

(x - 3) c m

. If its area is maximum, then

x = 4.5

I I :

The maximum area of the rectangle inscribed in a circle of radius

5 c m

50 s q . c m

. Which of the above statements are true?

Join BYJU'S Learning Program

The diameter of a circle found by measurement 5.2 cms with a maximum error 0.05 cms. The maximum error in its area is?

The correct option is C 0.41 sq.cmsDiameter of circle = 5.2±0.05cm∴ radius of circle (r) = 2.6±0.052cm∴dr=0.052∵A=πr2⇒dA=2πrdr=2×3.14×2.6×0.052=0.41 sq. cms

The diameter of a circle found by measurement $5.2$ cms with a maximum error $0.05$ cms. The maximum error in its area is?

The correct option is C $0.41$ sq.cms
Diameter of circle = $5.2 \pm 0.05 c m$
$∴$ radius of circle (r) = $2.6 \pm \frac{0.05}{2} c m$
$∴ d r = \frac{0.05}{2}$
$∵ A = π r^{2}$
$\Rightarrow d A = 2 π r d r$
$= 2 \times 3.14 \times 2.6 \times \frac{0.05}{2}$
$= 0.41$ sq. cms