# Area by Integration

**Problem**

Divide the circle of radius 13 cm into four parts by two perpendicular chords, both 5 cm from the center. What is the area of the smallest part.

- Read more about Smallest Part From The Circle That Was Divided Into Four Parts By Perpendicular Chords
- Log in or register to post comments
- 5312 reads

## 03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1 - sin θ), r = a(1 + cos θ), r = a(1 - cos θ)

- Read more about 03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1 - sin θ), r = a(1 + cos θ), r = a(1 - cos θ)
- Log in or register to post comments
- 28303 reads

## 08 Area Enclosed by r = a sin 3θ and r = a cos 3θ

- Read more about 08 Area Enclosed by r = a sin 3θ and r = a cos 3θ
- Log in or register to post comments
- 10510 reads

## 05 Area Enclosed by r = a sin 2θ and r = a cos 2θ

- Read more about 05 Area Enclosed by r = a sin 2θ and r = a cos 2θ
- Log in or register to post comments
- 7542 reads

## 01 Area Enclosed by r = 2a cos^2 θ

- Read more about 01 Area Enclosed by r = 2a cos^2 θ
- Log in or register to post comments
- 9024 reads

## 07 Area Enclosed by r = 2a cos θ and r = 2a sin θ

- Read more about 07 Area Enclosed by r = 2a cos θ and r = 2a sin θ
- Log in or register to post comments
- 10579 reads

## Example 8 | Area bounded by arcs of quarter circles

- Read more about Example 8 | Area bounded by arcs of quarter circles
- Log in or register to post comments
- 10622 reads

## Area for grazing by the goat tied to a silo

- Read more about Area for grazing by the goat tied to a silo
- Log in or register to post comments
- 7000 reads

## Cycloid: equation, length of arc, area

- Read more about Cycloid: equation, length of arc, area
- Log in or register to post comments
- 7067 reads

## 709 Centroid of the area bounded by one arc of sine curve and the x-axis

**Problem 709**

Locate the centroid of the area bounded by the x-axis and the sine curve $y = a \sin \dfrac{\pi x}{L}$ from x = 0 to x = L.

- Read more about 709 Centroid of the area bounded by one arc of sine curve and the x-axis
- Log in or register to post comments
- 27836 reads