# 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