Arun is taking part in an art workshop, and today was his first day. The first art he learnt was that of paper cutting. The teacher told him to take a circular piece of paper, folded it into a semi-circle, then cut out a triangle from it. On opening the folded paper, the paper looked something like this:

He knows that the area of the circular piece of paper is $25\mathrm{\pi } {\mathrm{cm}}^2$. Then the area of the green shaded portion will be

Nikhat received two parcels today. The items inside the parcels were wrapped in bubble wraps, which had different sized bubbles. To compare them, Nikhat cut out two squares of side $4 \mathrm{cm}$ from each of them:

The bubbles on the left are all identical. Which of the squares has more area not covered by bubbles?

One day Mr. Sen went to an Art Gallery for an art exhibition. There he saw an abstract painting like the one below. He wanted to know the area of the green coloured space in the painting. He observed that the diameter of the smallest circle is approximately $4 \mathrm{cm}$ and the diameter of the subsequent circles increases by the same length i.e., $4 \mathrm{cm}$.

Find the total area shaded in green colour.

A child wants to eat a Kaju Katli which is a parallelogram in shape by splitting it into small pieces by using a circular metal cap. After removing and eating Kaju Katli, using this metal cap, the diagram for the leftover will be as shown below. Each circle below has a radius of $2$ units and the parallelogram goes through the centers of the outer two circle. Find the area of the leftover Kaju Katli(shaded parts)

In a drawing competition held in a school, students were asked to draw an oil lamp. Rahul decided to use his geometric knowledge for this task. First he drew a quarter circle of radius $8$ units. Now taking this radius as the diameter he further drew two semicircles intersecting each other as shown below. Find the area of the white region.

Raghu was playing in his grandfather's old garage, where his grandfather kept many antique items. In a dark corner, he found a really old clock. He found that the clock was dead at $9:05 \mathrm{a}.\mathrm{m}$ . He pulled a lever on the clock and the minute hand shifted to $5$.

If the length of the minute hand of a clock is $3.5 \mathrm{cm}$, find the area swept on the face of the clock by it between $9:05 \mathrm{a}.\mathrm{m}.$ and $9:25 \mathrm{a}.\mathrm{m}.$ (Use the value $\mathrm{\pi }=\frac{22}{7}$)

Raju is a table designer, his speciality is remodeling old tables. While he was remodeling an old round table, of diameter $112 \mathrm{cm}$, he planned to leave the old design, which is in the form of a regular hexagon in the center untouched, as Raju admired its craftsmanship on it. He redesigned the remaining portion of the tabletop at the rate of $₹8 \mathrm{per} 15 {\mathrm{cm}}^2$. Find the cost of redesigning (use $\sqrt{3}=1.73$ and $\mathrm{\pi }=\frac{22}{7}$)

For an average driver, research says that, there is a difference in fuel efficiency when driving with larger tyres. To apply this practically, a car company has changed the diameter of each wheel of their newly launched car model from the standard size to $42 \mathrm{cm}$.

Each wheel of this car makes $20$ revolutions in $12$ seconds. Find the speed of the new car in metre per minute.

The Gujarati Stitch is a signature stitching art of the tribal community of Kutch District in Gujarat, India. A beautiful representation of the Gujarati stitch is:

The stitch converted to a geometrical figure will look something like this:

The area of the white region is$?$  [Assume $\mathrm{\pi }=3.14, \sqrt{3}=1.732$]