Compare Circle (r=3cm) vs Rectangle (7cm×3cm): Finding Greater Perimeter

Question

The radius of a circle is 3 cm.

Dimensions of a rectangle are 7 cm by 3 cm.

Which shape has a greater perimeter/circumference?

Video Solution

Solution Steps

00:00 Which shape has a larger perimeter?
00:03 We want to calculate the circumference of the circle
00:06 The radius of the circle according to the given data
00:10 We'll use the formula for calculating circle circumference
00:15 We'll substitute the circle's radius according to the given data and solve for the circumference
00:30 We'll substitute the value of pi
00:40 This is the circle's circumference
00:44 Now we want to calculate the perimeter of the rectangle
00:47 The sides of the rectangle according to the given data
00:51 The rectangle's perimeter equals twice the sum of adjacent sides
01:06 We'll substitute appropriate values and solve for the rectangle's perimeter
01:17 This is the rectangle's perimeter
01:22 And this is the solution to the question

Answer

The rectangle