The base of the snowman has a radius of 2.4 feet. The head of the snowman has a diameter of 1.8 feet. What is the total area of the snowman's
base and head? Round your answer to the nearest hundredth.

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Ответ:

wallacelizzy1

26.09.2022

Mathematics

$x = 4 \sqrt{3}$

Step-by-step explanation:

By geometric mean theorem and Pythagoras theorem:

${x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3}$

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The base of the snowman has a radius of 2.4 feet. The head of the snowman has a diameter of 1.8 feet. What is the total area of the snowman's base and head? Round your answer to the nearest hundredth.