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Find the area of the sector of the circle with radius 35cm and sector angle 72degrees

2007-02-02 01:22:52 · 7 answers · asked by imdbestt 2 in Science & Mathematics Mathematics

7 answers

The formula for calculating the area of the sector is:

(Angle of sector/360)* pi* radius squared.

For your example this would be

72/360* pi*35*35. which equals=769.69cm^2.

2007-02-02 01:28:26 · answer #1 · answered by The exclamation mark 6 · 0 0

Here's how you do that. Divide 360° by 72°. That gives you 5. There would be 5 of these sectors in a full circle. The formula for the area of a circle is pi time the radius squared. So multiply pi (3.14159265359) by 35² (1225) and divide that by 5.

Your answer is: 769.69020013 square centimeters.

2007-02-02 01:56:12 · answer #2 · answered by Anonymous · 0 0

A circle is 360 degrees, therefore the sector made by a
72-degree angle constitutes 72/360 of the total area :
A = (72/360) * (pi * 35 ^ 2) = 769.3 cm^2
pi = 3.14

2007-02-02 01:32:51 · answer #3 · answered by Sassan 2 · 0 0

Convert 72° to radians

72(π/180)

12 is the common factor of 72 and 180

72/12 = 6

180 / 12 = 15

6π/15 radians

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Area of a sector formula

A = 1/2 r² Θ

A = 1/2 (35)² (6π/15)

A = 1/2 (1225)(18.84955592/15)

A = 1/2 (1225)(1.256637061)

A = 1/2(1539.3804)

A = 769.6902001

A = 769.69cm squared

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2007-02-02 03:09:22 · answer #4 · answered by SAMUEL D 7 · 0 1

heat canines! an astronaut question. to simplify the respond, enable's anticipate the planets P, Q and earth lie on a 'on the instant' line which supplies you 2 available configurations: a million. Planet P.....Earth....Planet Q or 2. Planet Q.....Planet P.....Earth so for project a million in basic terms upload the two distances, giving: 6.9 X 10^7 + 9.2 X 10^7 = sixteen.a million x 10^7 or a million.61 x 10^8 Ans: a million.61 x 10^8 km project 2, subtract, giving: 9.2 X 10^7 - 6.9 X 10^7 = 2.3 x 10^7 km Ans: 2.3 x 10^7 km Viola!

2016-11-24 19:03:57 · answer #5 · answered by Anonymous · 0 0

area of sector=(x/360)*pi*r^2=(x/360)*area of circle
area=(72/360)*3.14*35*35
=769.3sq cms

2007-02-02 01:44:57 · answer #6 · answered by iron muncher 3 · 0 0

change 72 degrees into radians

72 x pi/180 = 2pi/5

then use the formula

A= r^2 x angle /2

A=1225(2pi/5)/2
A=1538.39/2
A=769.2 sq. cm.

2007-02-02 01:31:28 · answer #7 · answered by duntoktomee 2 · 0 0

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