(B) Let the radius of the new circle be $R$. The area of the new circle is equal to the sum of the areas of the three given circles.$\pi R^{2} = \pi(2

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) Let the radius of the new circle be $R$. The area of the new circle is equal to the sum of the areas of the three given circles.$\pi R^{2} = \pi(22)^{2} + \pi(19)^{2} + \pi(8)^{2}$Dividing both sides by $\pi$,we get:$R^{2} = 22^{2} + 19^{2} + 8^{2}$$R^{2} = 484 + 361 + 64$$R^{2} = 909$$R = \sqrt{909} \approx 30.15$Rounding to the nearest $cm$,we get $R = 30\, cm$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Easy

What is the radius of a circle,to the nearest $cm$,whose area is equal to the sum of the areas of the three circles of radii $22\, cm$,$19\, cm$,and $8\, cm$ respectively? (in $cm$)

A
$17$
B
$30$
C
$29$
D
$19$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Mensuration

Subtopic

Measurement of Area

In a parallelogram,the lengths of adjacent sides are $12\, cm$ and $14\, cm$,respectively. If the length of one diagonal is $16\, cm$,then find the length of the other diagonal (in $cm$).

Medium

View Solution

The lengths of three medians of a triangle are $9 \, cm$,$12 \, cm$,and $15 \, cm$. The area (in $cm^2$) of the triangle is

Difficult

View Solution

If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

Medium

View Solution

The radius of the wheel of a vehicle is $70\, cm$. The wheel makes $10$ revolutions in $5\, seconds$. The speed of the vehicle is......$km/h$.

Medium

View Solution

$A$ lawn is in the form of a rectangle having its breadth and length in the ratio $3:4$. The area of the lawn is $\frac{1}{12}$ hectare. The breadth of the lawn is..........$metres$.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

What is the radius of a circle,to the nearest $cm$,whose area is equal to the sum of the areas of the three circles of radii $22\, cm$,$19\, cm$,and $8\, cm$ respectively? (in $cm$)

Similar Questions

In a parallelogram,the lengths of adjacent sides are $12\, cm$ and $14\, cm$,respectively. If the length of one diagonal is $16\, cm$,then find the length of the other diagonal (in $cm$).

The lengths of three medians of a triangle are $9 \, cm$,$12 \, cm$,and $15 \, cm$. The area (in $cm^2$) of the triangle is

If all the sides of a triangle are increased by $200 \%$,then the area of the triangle will increase by (in $\%$):

The radius of the wheel of a vehicle is $70\, cm$. The wheel makes $10$ revolutions in $5\, seconds$. The speed of the vehicle is......$km/h$.

$A$ lawn is in the form of a rectangle having its breadth and length in the ratio $3:4$. The area of the lawn is $\frac{1}{12}$ hectare. The breadth of the lawn is..........$metres$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module