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?

$455 s q . c m$

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

$154 s q . c m$

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

$301 s q . c m$

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

$509 s q . c m$

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

Open in App

Solution

The correct option is C
$301 s q . c m$

Area of the shaded region
= Area of the trapezium - Area of the circle
Area of trapezium
= $\frac{1}{2} \times height \times sum of parallel sides$
= $\frac{1}{2} \times 14 \times (25 + 40) = 455 s q . c m$
Area of the circle $= π \times r^{2} = \frac{22}{7} \times 7 \times 7 = 154 s q . c m$
Hence, area of the shaded region $= 455 - 154$
$= 301 s q . c m .$

Suggest Corrections

Similar questions

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. Two trapeziums of same dimensions are inscribed inside a circle such that one of their parallel sides coincides with the diameter of the circle which is 10 cm in length. Also the smaller parallel side is equal to the non parallel sides. Find the area of the shaded region?

Q. In the figure a circle is inscribe in a square of side

14 c m

. Find the area of the circle of the shaded region.

A circle is inscribed in a square of side length 14 cm. Find the area of the shaded region.

A field is in the shape of a trapezium whose parallel sides are $25cm and 10cm$ . If its non-parallel sides are $14cm and 13cm$ . Find its area ___ (in $c m^{2}$ ).

Join BYJU'S Learning Program

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?

The correct option is C 301 sq.cm Area of the shaded region = Area of the trapezium - Area of the circle Area of trapezium = 12×height×sum of parallel sides =12×14×(25+40)=455 sq.cm Area of the circle =π×r2=227×7×7=154 sq.cm Hence, area of the shaded region =455−154 =301 sq.cm.