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50 POINTS IF YOU HELP!!!!!

A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 5π2 radians? Use 3.14 for pi.

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62.8ft squared is ur answer sorry if wrong


User MaxPY
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4 votes
we know that

[the area of a circle]=pi*r²
for r=4 ft
[the area of a circle]=pi*4²------> 50.24 ft²

if 2π radians ( full circle) has an area of-----------------> 50.24 ft²
5π/2 radians--------------------------------------> X ft ²
X=(5π/2)*50.24/2π-------> 62.8 ft²

the answer is
62.8 ft²
User Titus Pullo
by
7.7k points

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