# Geometry

A circle is divided into two parts by a chord, 3cm a wat from the center. Find the area of the smaller part if the circle has an area of 201cm squared.

1. 👍
2. 👎
3. 👁
1. Did you make your sketch?
Complete the central triangle with the chord as its base
let the central angle be 2Ø

area of whole circle = πr^2 = 201
r = √(201/π)

cosØ = 3/√(201/π) = ....
Ø = appr ....
2Ø = .....

we can find the area of the central triangle:
= (1/2)(r)(r)sin(2Ø) = ......

Also the area of the sector using ratios:
2Ø/360° = sector/210
sector = 210Ø/180

subtract the triangle area from the sector area and you have the segment area

I will leave all that calculation stuff up to you

1. 👍
2. 👎

## Similar Questions

1. ### Solid Mensuration

A circle having an area of 452 square inches is cut into two segments by a chord, which is 6 inches from the center of the circle. Find the area of the bigger segment.

2. ### solid mensuration

Determine the area of the segment of a circle if the length of the chord is 15 inches & located 5 inches from the center of the circle.

3. ### Math

a circle is divided into 9 equal parts. What is the angle measure of two of those parts

4. ### Math

A circle is divided into 20 equal parts. Find the angle measure of one of the parts

1. ### Math

A circle has a radius of 10 cm. A chord is 6 cm from the center. What is the length, in centimeters, of the chord?

2. ### Math

A circle is divided into 8 equal parts. What is the total angle measure of 4 parts?

3. ### math

Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter

4. ### Mathematics

In a circle of radius 6cm a chord is drawn 3cm from the center. Calculate the angle subtended by the chord at the center of the circle

1. ### geometry

suppose the diameter of a circle is 20in. long and a chord is 16in. long. What is the distance from the center of the circle to the chord Draw a radius from the center to the end of the chord. THe draw a radius from the center

2. ### Geometry

determine the radius of a circle if a 24 inch chord is 9 inches from the center

3. ### MATHS

A chord 20cm long is 12cm from the center of a circle calculate, correct to one decimal place

4. ### math

in a circle of radius 6cm , a chord is drawn 3cm from the circle (a)calculate the angle subtended by the chord at the centre of the circle