(D) The radius of the outer circle is $R = 90\, m$.The width of the road is $10\, m$,so the radius of the inner circle is $r = 90 - 10 = 80\, m$.The a

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(D) The radius of the outer circle is $R = 90\, m$.The width of the road is $10\, m$,so the radius of the inner circle is $r = 90 - 10 = 80\, m$.The area of the road is the difference between the area of the outer circle and the area of the inner circle.Area of the road $= \pi R^2 - \pi r^2 = \pi(R^2 - r^2)$.Area $= 3.14 \times (90^2 - 80^2)$.Area $= 3.14 \times (8100 - 6400)$.Area $= 3.14 \times 1700$.Area $= 5338\, m^2$.

Class 10 Mathematics Areas Related to Circles Mix Examples - Areas Related to Circles

Medium

The radius of a circular ground is $90\, m$. Inside it,a road of width $10\, m$ runs around its boundary. Find the area of the road. $(\pi=3.14)$ (in $m^2$)

A
$5216$
B
$4535$
C
$5139$
D
$5338$

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Mix Examples - Areas Related to Circles

If the radius of a circle is increased by $10 \%,$ then the corresponding area of the new circle will be $\ldots \ldots \ldots . . .$

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In a circle with radius $8.4 \, cm$,two radii are perpendicular to each other. The area of the minor sector formed by these radii is $\ldots \ldots \ldots \, cm^2$.

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The area of a circle is $38.5\, m^2$,then its circumference will be $\ldots \ldots \ldots \ldots \, m$.

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Area of a sector of a circle of radius $36 \, cm$ is $54 \pi \, cm^{2}$. Find the length of the corresponding arc of the sector (in $cm$). (in $\pi$)

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The cost of erecting a wall all around a circular ground at the rate of $₹ 60/m$ is $₹ 26,400$. Find the cost of levelling the ground at the rate of $₹ 50/m^2$. (in $₹$) (in $1,000$)

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The radius of a circular ground is $90\, m$. Inside it,a road of width $10\, m$ runs around its boundary. Find the area of the road. $(\pi=3.14)$ (in $m^2$)

Similar Questions

If the radius of a circle is increased by $10 \%,$ then the corresponding area of the new circle will be $\ldots \ldots \ldots . . .$

In a circle with radius $8.4 \, cm$,two radii are perpendicular to each other. The area of the minor sector formed by these radii is $\ldots \ldots \ldots \, cm^2$.

The area of a circle is $38.5\, m^2$,then its circumference will be $\ldots \ldots \ldots \ldots \, m$.

Area of a sector of a circle of radius $36 \, cm$ is $54 \pi \, cm^{2}$. Find the length of the corresponding arc of the sector (in $cm$). (in $\pi$)

The cost of erecting a wall all around a circular ground at the rate of $₹ 60/m$ is $₹ 26,400$. Find the cost of levelling the ground at the rate of $₹ 50/m^2$. (in $₹$) (in $1,000$)

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