The problem doesn't provide a visual, but based on the description, it seems like the semicircles are cut out from the shorter sides (width) of the rectangle.

Step 1: Calculate the area of the rectangle
The area of a rectangle is given by the formula length × width. So, the area of the rectangle is 35cm × 14cm = 490 square cm.

Step 2: Calculate the area of the two semicircles
The two semicircles together make up a full circle. The radius of this circle is half the width of the rectangle, which is 14cm ÷ 2 = 7cm. The area of a circle is given by the formula πr². So, the area of the circle is 3.14 × (7cm)² = 3.14 × 49cm² = 153.86 square cm.

Step 3: Subtract the area of the circle from the area of the rectangle
The area of the paper that remains after the semicircles are cut out is the area of the rectangle minus the area of the circle. So, the remaining area is 490 square cm - 153.86 square cm = 336.14 square cm.

So, the area of the paper that remains is 336.14 square cm.

Question

The problem doesn't provide a visual, but based on the description, it seems like the semicircles are cut out from the shorter sides (width) of the rectangle.

Step 1: Calculate the area of the rectangle
The area of a rectangle is given by the formula length × width. So, the area of the rectangle is 35cm × 14cm = 490 square cm.

Step 2: Calculate the area of the two semicircles
The two semicircles together make up a full circle. The radius of this circle is half the width of the rectangle, which is 14cm ÷ 2 = 7cm. The area of a circle is given by the formula πr². So, the area of the circle is 3.14 × (7cm)² = 3.14 × 49cm² = 153.86 square cm.

Step 3: Subtract the area of the circle from the area of the rectangle
The area of the paper that remains after the semicircles are cut out is the area of the rectangle minus the area of the circle. So, the remaining area is 490 square cm - 153.86 square cm = 336.14 square cm.

So, the area of the paper that remains is 336.14 square cm.

Knowee AI · Accepted Answer

The problem doesn't provide a visual, but based on the description, it seems like the semicircles are cut out from the shorter sides (width) of the rectangle.

Step 1: Calculate the area of the rectangle
The area of a rectangle is given by the formula length × width. So, the area of the rectangle is 35cm × 14cm = 490 square cm.

Step 2: Calculate the area of the two semicircles
The two semicircles together make up a full circle. The radius of this circle is half the width of the rectangle, which is 14cm ÷ 2 = 7cm. The area of a circle is given by the formula πr². So, the area of the circle is 3.14 × (7cm)² = 3.14 × 49cm² = 153.86 square cm.

Step 3: Subtract the area of the circle from the area of the rectangle
The area of the paper that remains after the semicircles are cut out is the area of the rectangle minus the area of the circle. So, the remaining area is 490 square cm - 153.86 square cm = 336.14 square cm.

So, the area of the paper that remains is 336.14 square cm.

A rectangular piece of paper with length 35cm and width 14cm has two semicircles cut out of it, as shown below.Find the area of the paper that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

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