The radius of circle is given as 2.8 cm to 2 significant figures(a) If C is the circumference of the circle, determine the limits between which C/πlies(b) By taking ∏ to be 3.142, find, to 4 significant figures the line between which thecircumference lies.3. The length and breath of a rectangular floor were measured and found to be 4.1m and 2.2 m respectively. If possible error of 0.01 m was made in each of themeasurements, find the:(a) Maximum and minimum possible area of the floor(b) Maximum possible wastage in carpet ordered to cover the whole floor(c)4. In this question Mathematical Tables should not be usedThe base and perpendicular height of a triangle measured to the nearestcentimeter are 6 cm and 4 cm respectively.Find(a) The absolute error in calculating the area of the triangle(b) The percentage error in the area, giving the answer to 1 decimal place

This seems like a multi-part question. Let's break it down:

1. The radius of a circle is given as 2.8 cm to 2 significant figures. (a) If C is the circumference of the circle, determine the limits between which C/π lies. (b) By taking ∏ to be 3.142, find, to 4 significant figures the line between which the circumference lies.

2. The length and breath of a rectangular floor were measured and found to be 4.1m and 2.2 m respectively. If possible error of 0.01 m was made in each of the measurements, find the: (a) Maximum and minimum possible area of the floor (b) Maximum possible wastage in carpet ordered to cover the whole floor

3. The base and perpendicular height of a triangle measured to the nearest centimeter are 6 cm and 4 cm respectively. Find: (a) The absolute error in calculating the area of the triangle (b) The percentage error in the area, giving the answer to 1 decimal place

Let's solve these step by step:

1. (a) The circumference of a circle is given by the formula C = 2πr. Here, r = 2.8 cm. So, C = 2π(2.8) = 5.6π cm. Therefore, C/π = 5.6 cm. (b) By taking π to be 3.142, the circumference C = 2 * 3.142 * 2.8 = 17.592 cm to 4 significant figures.

2. (a) The area of a rectangle is given by the formula A = length * breadth. Here, length = 4.1 m and breadth = 2.2 m. So, A = 4.1 * 2.2 = 9.02 m². The maximum possible error in each measurement is 0.01 m. Therefore, the maximum possible area is (4.1 + 0.01) * (2.2 + 0.01) = 9.04 m² and the minimum possible area is (4.1 - 0.01) * (2.2 - 0.01) = 9.00 m². (b) The maximum possible wastage in carpet ordered to cover the whole floor is the difference between the maximum possible area and the actual area, which is 9.04 m² - 9.02 m² = 0.02 m².

3. (a) The area of a triangle is given by the formula A = 1/2 * base * height. Here, base = 6 cm and height = 4 cm. So, A = 1/2 * 6 * 4 = 12 cm². The absolute error in calculating the area of the triangle is the difference between the actual area and the measured area. (b) The percentage error in the area is the absolute error divided by the actual area, multiplied by 100. Without the measured area, we cannot calculate the percentage error.