Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A baker uses a coffee mug with a diameter of 
8cm to cut out circular cookies from a big sheet of cookie dough.
What is the area 
A of each cookie? Give your answer in terms of pi.

A=◻quad+x^(⇀)cm^(2)

A baker uses a coffee mug with a diameter of 8 cm 8 \mathrm{~cm} to cut out circular cookies from a big sheet of cookie dough.\newlineWhat is the area A A of each cookie? Give your answer in terms of pi.\newlineA= A=\square  cm2\mathrm{~cm}^{2}

Full solution

Q. A baker uses a coffee mug with a diameter of 8 cm 8 \mathrm{~cm} to cut out circular cookies from a big sheet of cookie dough.\newlineWhat is the area A A of each cookie? Give your answer in terms of pi.\newlineA= A=\square  cm2\mathrm{~cm}^{2}
  1. Find Radius of Cookies: First, we need to find the radius of the cookies since the area of a circle is calculated using the radius. The radius is half of the diameter.\newlineRadius = Diameter / 22 = 8cm/2=4cm8\,\text{cm} / 2 = 4\,\text{cm}.
  2. Calculate Area of Circle: Now, we can use the formula for the area of a circle, which is A=πr2A = \pi * r^2, where rr is the radius.\newlineA=π(4cm)2A = \pi * (4\,\text{cm})^2.
  3. Square Radius: Squaring the radius gives us 16cm216\,\text{cm}^2. \newlineA = π×16cm2\pi \times 16\,\text{cm}^2.
  4. Final Area Calculation: So, the area of each cookie is 16πcm216\pi \, \text{cm}^2.

More problems from Scale drawings: word problems