Two circular plates have radii 12 cm12 cm and 13 cm13 cm. Find the difference in their area correct to two decimal places.

Sure, here are the steps to find the difference in the areas of the two circular plates:

Step 1: Recall the formula for the area of a circle, which is A = πr², where r is the radius of the circle.

Step 2: Calculate the area of the first circle (with radius 12 cm) using the formula. A1 = π(12)² = 144π cm².

Step 3: Calculate the area of the second circle (with radius 13 cm) using the formula. A2 = π(13)² = 169π cm².

Step 4: Subtract the area of the first circle from the area of the second circle to find the difference in their areas. ΔA = A2 - A1 = 169π cm² - 144π cm² = 25π cm².

Step 5: To get the answer in decimal form, multiply 25 by the value of π (approximately 3.14). ΔA ≈ 25 * 3.14 = 78.5 cm².

So, the difference in the areas of the two circular plates is approximately 78.5 cm², correct to two decimal places.