math

area of a sector of a circle of radius 36 cm is 54 pie cm square . find the length of the corresponding arc of the sector

1. 0

posted by shaikha
2. can you not look up the formulas?

a = 1/2 r^2 θ, so
1/2 (36^2) θ = 54 pi (not pie!)
θ = 108π/1296 = 0.2618

now for the arc length,

s = rθ = 36 * 0.2618 = 9.42

posted by Steve

Similar Questions

1. trig

In a circle of radius 12 inches, a sector is formed by a central angle of pie/4 radians. Find the area of the sector to the nearest hundredth of a square inch.
2. How do i do this maths question??

A sector of a circle with radius r cm contains an angle of θ radians between the bounding radii. Given that the perimeter of the sector is 7cm, express θ in terms of r and show that the area is r/2(7-2r)cm square. Hence, find
3. geometry b

in a circle,a 90 dagree sector has an area of 36 pie ft squared.what is the radius of the circle ???
4. Algebra

The Circumference and area of a circle of radius r are givin by 2 [pie] r and [pie] r[2], respectively use 3.14 for the constant [pie] A. What is the circumference of a circle with a radius of 2 m? B.What is the area of a circle
5. Geometry

The measure of the central angle of a sector of a circle is 90degrees. The arc length of the sector is 3(pie) cm. What is the radius of the circle?
6. trigonometry

please check my answers. 1.Find the area of the sector of a circle. r=11.8cm, theta-pi/7 radians I got 31.2cmsquared 2.Find the radius of a circle in which a central angle of pi/6radian determines a sector of area 76square meters.
7. math

A sector of a circle subtending an angle 300 degrees at the centre is used to form a cone with base radius 6cm. Find the (a.)radius of the circle (b.)volume of the cone (c.)area of the minor sector of the circle
8. can xome1 help me plzz im stuck

HELP PLZZ...A circle has radius 2 cm,(in that circle there is a traingle ABO) O is the centre of the circle. the chord AB has length 3 cm. . BO is 2cm AO is 2cm (i) Show that ÚAOB is 1.696 radians (to three decimal places).
9. Math

The radius of a circle is decreasing at a constant rate of 0.1 centimeters per second. In terms of the circumference C, what is the rate of the area of the circle, in square centimeters per second? a. -(0.2)pie C b. -(0.1)C c.
10. AP Calculus

The radius of a circle is decreasing at a constant rate of 0.1 centimeters per second. In terms of the circumference C, what is the rate of the area of the circle, in square centimeters per second? a. -(0.2)pie C b. -(0.1)C c.

More Similar Questions