Really need help with these math problems, can someone please help me?

NetherCraft 0

1. The area of this circle is 42π m². What is the area of a 60º sector of this circle?

A) 6π m²

B) 7π m²

C) 14π m²

D) 21π m²

(The picture for this question is attached below.)

2. A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle?

3. What is the area of a sector with a central angle of 10π/7 radians and a radius of 18.4 m?

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4. What is the area of a sector with a central angle of 5π/7 radians and a diameter of 5.6 in.?

5. What is the area of a sector with a central angle of 4π/5 radians and a radius of 11 cm?

Thank you to anyone who helps me.

1 Answer

  • 1B. (60/360)*42*pi = 7*pi =~ 21.991148575128552669238503682957

    2. (360/72)*16.4*pi = 82*pi =~ 257.61059759436304555393675742892

    3. pi*18.4^2*((10*pi/7)/(2*pi)) = pi*8464/35 =~ 759.72686342811457058136610274508

    4. pi*(5.6/2)^2*((5*pi/7)/(2*pi)) = pi*7.84*(5/14) = (98/35)*pi =~ 8.7964594300514210676954014731826

    5. pi*11^2*((4*pi/5)/(2*pi)) = 48.4*pi =~ 152.05308443374599274159193975073


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