A shape consists of a rectangular base with a semicircular top, as shown a Given that the perimeter of the shape is 40 cm, show that its area, A cm 2 , is given by the formula where r cm is the radius of the semicircle b Hence find the maximum value for the area of the shape A 40r2r2 2...

To solve this problem lets break it down into two parts a Finding the formula for the area of the shape To find the area of the shape we need to find ...

A shape consists of a rectangular base with a semicircular top, as shown. a. Given that the

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A shape consists of a rectangular base with a semicircular top, as shown.

a. Given that the perimeter of the shape is 40 cm, show that its area, A cm², is given by the formula

where r cm is the radius of the semicircle.

b. Hence find the maximum value for the area of the shape.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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Authors: Greg Attwood

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Question Posted: Jul 16, 2023 12:48 AM

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A shape consists of a rectangular base with a semicircular top, as shown. a. Given that the

Question:

A = 40r2r2- 2

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To solve this problem lets break it down into two parts a Finding the formula for the area of the shape To find the area of the shape we need to find ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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